메뉴 건너뛰기




Volumn 37, Issue 4, 2013, Pages 2086-2101

Numerical solutions of integro-differential equations and application of a population model with an improved Legendre method

Author keywords

Improved Legendre collocation method; Integro differential equations; Legendre polynomials; Numerical solutions; Population model

Indexed keywords

APPROXIMATE SOLUTION; ILLUSTRATIVE EXAMPLES; LEGENDRE METHODS; LEGENDRE POLYNOMIALS; LEGENDRE-COLLOCATION METHOD; NUMERICAL SOLUTION; OPERATOR EQUATION; POPULATION MODEL; RESIDUAL FUNCTIONS;

EID: 84870249416     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2012.05.012     Document Type: Article
Times cited : (53)

References (56)
  • 3
    • 0021618955 scopus 로고
    • Integral form of the general solution of equations of steady-state thermoelasticity
    • Kopeikin I.D., Shishkin V.P. Integral form of the general solution of equations of steady-state thermoelasticity. J. Appl. Math. Mech. (PMM U.S.S.R.). 1984, 48(1):117-119.
    • (1984) J. Appl. Math. Mech. (PMM U.S.S.R.). , vol.48 , Issue.1 , pp. 117-119
    • Kopeikin, I.D.1    Shishkin, V.P.2
  • 4
    • 0008089944 scopus 로고
    • On an integral equation in population analysis
    • Lotka A.J. On an integral equation in population analysis. Ann. Math. Stat 1939, 10:144-161.
    • (1939) Ann. Math.Stat , vol.10 , pp. 144-161
    • Lotka, A.J.1
  • 5
    • 10644253497 scopus 로고    scopus 로고
    • Numerical solutions of Volterra integral equations of the second kind with convolution kernel by using Taylor-series expansion method
    • Maleknejad K., Aghazadeh N. Numerical solutions of Volterra integral equations of the second kind with convolution kernel by using Taylor-series expansion method. Appl. Math. Comput. 2005, 161(3):915-922.
    • (2005) Appl. Math. Comput. , vol.161 , Issue.3 , pp. 915-922
    • Maleknejad, K.1    Aghazadeh, N.2
  • 6
    • 33750071409 scopus 로고    scopus 로고
    • Taylor collocation method for solution of systems of high-order linear Fredholm-Volterra integro-differential equations
    • Gülsu M., Sezer M. Taylor collocation method for solution of systems of high-order linear Fredholm-Volterra integro-differential equations. Intern. J. Comput.Math. 2006, 83(4):429-448.
    • (2006) Intern. J. Comput.Math. , vol.83 , Issue.4 , pp. 429-448
    • Gülsu, M.1    Sezer, M.2
  • 7
    • 42949104677 scopus 로고    scopus 로고
    • A homotopy perturbation algorithm to solve a system of Fredholm-Volterra type integral equations
    • Yusufoĝlu E. A homotopy perturbation algorithm to solve a system of Fredholm-Volterra type integral equations. Math. Comput. Model. 2008, 47:1099-1107.
    • (2008) Math. Comput. Model. , vol.47 , pp. 1099-1107
    • Yusufoĝlu, E.1
  • 8
    • 38149090283 scopus 로고    scopus 로고
    • Solution of an integro-differential equation arising in oscillating magnetic fields using He's homotopy perturbation method
    • Dehghan M., Shakeri F. Solution of an integro-differential equation arising in oscillating magnetic fields using He's homotopy perturbation method. Prog. Electromagnetics Res. PIER 2008, 78:361-376.
    • (2008) Prog. Electromagnetics Res. PIER , vol.78 , pp. 361-376
    • Dehghan, M.1    Shakeri, F.2
  • 9
    • 9644267675 scopus 로고    scopus 로고
    • Numerical solution of linear Fredholm integral equations system by rationalized Haar functions method
    • Maleknejad K., Mirzaee F. Numerical solution of linear Fredholm integral equations system by rationalized Haar functions method. Int. J. Comput. Math. 2003, 80:1397-1405.
    • (2003) Int. J. Comput. Math. , vol.80 , pp. 1397-1405
    • Maleknejad, K.1    Mirzaee, F.2
  • 10
    • 3242672559 scopus 로고    scopus 로고
    • Solving linear integro-differential equations system by using rationalized Haar functions method
    • Maleknejad K., Mirzaee F., Abbasbandy S. Solving linear integro-differential equations system by using rationalized Haar functions method. Appl. Math. Comput. 2004, 155:317-328.
    • (2004) Appl. Math. Comput. , vol.155 , pp. 317-328
    • Maleknejad, K.1    Mirzaee, F.2    Abbasbandy, S.3
  • 11
    • 77953084724 scopus 로고    scopus 로고
    • Solution of parabolic integro-differential equations arising in heat conduction in materials with memory via He's variational iteration technique
    • Dehghan M., Shakeri F. Solution of parabolic integro-differential equations arising in heat conduction in materials with memory via He's variational iteration technique. Int. J. Numer. Methods Biomed. Eng. 2010, 26:705-715.
    • (2010) Int. J. Numer. Methods Biomed. Eng. , vol.26 , pp. 705-715
    • Dehghan, M.1    Shakeri, F.2
  • 12
    • 52049098460 scopus 로고    scopus 로고
    • Solutions of integral and integro-differential equation systems by using differential transform method
    • Arikoglu A., Ozkol I. Solutions of integral and integro-differential equation systems by using differential transform method. Comput. Math. Appl. 2008, 56:2411-2417.
    • (2008) Comput. Math. Appl. , vol.56 , pp. 2411-2417
    • Arikoglu, A.1    Ozkol, I.2
  • 13
    • 79955887680 scopus 로고    scopus 로고
    • The spectral methods for parabolic Volterra integro-differential equations
    • Fakhar-Izadi F., Dehghan M. The spectral methods for parabolic Volterra integro-differential equations. J. Comput. Appl. Math. 2011, 235:4032-4046.
    • (2011) J. Comput. Appl. Math. , vol.235 , pp. 4032-4046
    • Fakhar-Izadi, F.1    Dehghan, M.2
  • 14
    • 25644434152 scopus 로고    scopus 로고
    • Numerical solution of the system of Fredholm integro-differential equations by the Tau method
    • Pour-Mahmoud J., Rahimi-Ardabili M.Y., Shahmorad S. Numerical solution of the system of Fredholm integro-differential equations by the Tau method. Appl. Math. Comput. 2005, 168:465-478.
    • (2005) Appl. Math. Comput. , vol.168 , pp. 465-478
    • Pour-Mahmoud, J.1    Rahimi-Ardabili, M.Y.2    Shahmorad, S.3
  • 15
    • 79953246458 scopus 로고    scopus 로고
    • Numerical solution for the weakly singular Fredholm integro-differential equations using Legendre multiwavelets
    • Lakestani M., Saray B.N., Dehghan M. Numerical solution for the weakly singular Fredholm integro-differential equations using Legendre multiwavelets. J. Comput. Appl. Math. 2011, 235:3291-3303.
    • (2011) J. Comput. Appl. Math. , vol.235 , pp. 3291-3303
    • Lakestani, M.1    Saray, B.N.2    Dehghan, M.3
  • 16
    • 30844464816 scopus 로고    scopus 로고
    • Solution of a partial integro-differential equation arising from viscoelasticity
    • Dehghan M. Solution of a partial integro-differential equation arising from viscoelasticity. Int. J. Comput. Math. 2006, 83:123-129.
    • (2006) Int. J. Comput. Math. , vol.83 , pp. 123-129
    • Dehghan, M.1
  • 17
    • 44149091947 scopus 로고    scopus 로고
    • The variational iteration method: a highly promising method for solving the system of integro differential equations
    • Saberi-Nadjafi J., Tamamgar M. The variational iteration method: a highly promising method for solving the system of integro differential equations. Comput. Math. Appl. 2008, 56:346-351.
    • (2008) Comput. Math. Appl. , vol.56 , pp. 346-351
    • Saberi-Nadjafi, J.1    Tamamgar, M.2
  • 18
    • 79959767370 scopus 로고    scopus 로고
    • Numerical solution of nth-order integro-differential equations using trigonometric wavelets
    • Lakestani M., Jokar M., Dehghan M. Numerical solution of nth-order integro-differential equations using trigonometric wavelets. Math. Methods Appl. Sci. 2011, 34:1317-1329.
    • (2011) Math. Methods Appl. Sci. , vol.34 , pp. 1317-1329
    • Lakestani, M.1    Jokar, M.2    Dehghan, M.3
  • 19
    • 77952954172 scopus 로고    scopus 로고
    • Approximate solutions of linear Volterra integral equation systems with variable coefficients
    • Sorkun H.H., Yalçinbas S. Approximate solutions of linear Volterra integral equation systems with variable coefficients. Appl. Math. Model. 2012, 34(11):3451-3464.
    • (2012) Appl. Math. Model. , vol.34 , Issue.11 , pp. 3451-3464
    • Sorkun, H.H.1    Yalçinbas, S.2
  • 20
    • 84871047832 scopus 로고    scopus 로고
    • Legendre polynomial solutions of linear differential, integral and integro-differential equations
    • M.Sc. Thesis, Graduate School of Natural and Applied Sciences, Mugla University
    • F. Kabakçi, Legendre polynomial solutions of linear differential, integral and integro-differential equations, M.Sc. Thesis, Graduate School of Natural and Applied Sciences, Mugla University, 2007.
    • (2007)
    • Kabakçi, F.1
  • 21
    • 0037448167 scopus 로고    scopus 로고
    • Solution of a system of Volterra integral equations of the first kind by Adomian method
    • Biazar J., Babolian E., Islam R. Solution of a system of Volterra integral equations of the first kind by Adomian method. Appl. Math. Comput. 2003, 139:249-258.
    • (2003) Appl. Math. Comput. , vol.139 , pp. 249-258
    • Biazar, J.1    Babolian, E.2    Islam, R.3
  • 22
    • 7544230832 scopus 로고    scopus 로고
    • Solving linear integro-differential equation system by Galerkin methods with hybrid functions
    • Maleknejad K., Tavassoli Kajani M. Solving linear integro-differential equation system by Galerkin methods with hybrid functions. Appl. Math. Comput. 2004, 159:603-612.
    • (2004) Appl. Math. Comput. , vol.159 , pp. 603-612
    • Maleknejad, K.1    Tavassoli Kajani, M.2
  • 23
    • 67349159410 scopus 로고    scopus 로고
    • Modified homotopy perturbation method for solving system of linear Fredholm integral equations
    • Javidi M. Modified homotopy perturbation method for solving system of linear Fredholm integral equations. Math. Comput. Model. 2009, 50:159-165.
    • (2009) Math. Comput. Model. , vol.50 , pp. 159-165
    • Javidi, M.1
  • 24
    • 84856218753 scopus 로고    scopus 로고
    • The numerical solution of the non-linear integro-differential equations based on the meshless method
    • Dehghan M., Salehi R. The numerical solution of the non-linear integro-differential equations based on the meshless method. J. Comput. Appl. Math. 2012, 236:2367-2377.
    • (2012) J. Comput. Appl. Math. , vol.236 , pp. 2367-2377
    • Dehghan, M.1    Salehi, R.2
  • 25
    • 77949295595 scopus 로고    scopus 로고
    • A meshless based method for solution of integral equations
    • Mirzaei D., Dehghan M. A meshless based method for solution of integral equations. Appl. Numer. Math. 2010, 60:245-262.
    • (2010) Appl. Numer. Math. , vol.60 , pp. 245-262
    • Mirzaei, D.1    Dehghan, M.2
  • 26
    • 19044394086 scopus 로고    scopus 로고
    • Combinatorial and hypergeometric identities via the Legendre polynomials - a computational approach
    • El-Mikkawy M.E.A., Cheon G.S. Combinatorial and hypergeometric identities via the Legendre polynomials - a computational approach. Appl. Math. Comput. 2005, 166:181-195.
    • (2005) Appl. Math. Comput. , vol.166 , pp. 181-195
    • El-Mikkawy, M.E.A.1    Cheon, G.S.2
  • 27
    • 1842502575 scopus 로고    scopus 로고
    • Optimal control of linear delay systems via hybrid of block-pulse and Legendre polynomials
    • Marzban H.R., Razzaghi M. Optimal control of linear delay systems via hybrid of block-pulse and Legendre polynomials. J. Franklin Inst. 2004, 341:279-293.
    • (2004) J. Franklin Inst. , vol.341 , pp. 279-293
    • Marzban, H.R.1    Razzaghi, M.2
  • 28
    • 77951833958 scopus 로고    scopus 로고
    • Solving high-order linear differential equations by a Legendre matrix method based on Hybrid Legendre and Taylor polynomials
    • Sezer M., Gülsu M. Solving high-order linear differential equations by a Legendre matrix method based on Hybrid Legendre and Taylor polynomials. Numer. Meth. Part. Diff. Equ. 2010, 26(3):647-661.
    • (2010) Numer. Meth. Part. Diff. Equ. , vol.26 , Issue.3 , pp. 647-661
    • Sezer, M.1    Gülsu, M.2
  • 29
    • 0042021570 scopus 로고    scopus 로고
    • Solving second kind integral equation by Galerkin methods with hybrid Legendre and Block-Pulse functions
    • Maleknejad K., Tavassoli Kajani M. Solving second kind integral equation by Galerkin methods with hybrid Legendre and Block-Pulse functions. Appl. Math. Comput. 2003, 145:623-629.
    • (2003) Appl. Math. Comput. , vol.145 , pp. 623-629
    • Maleknejad, K.1    Tavassoli Kajani, M.2
  • 30
    • 0036856720 scopus 로고    scopus 로고
    • Legendre polynomials, Legendre-Stirling numbers and the left-definite spectral analysis of the Legendre differential expressions
    • Everitt W.N., Litlejohn L.L., Wellman R. Legendre polynomials, Legendre-Stirling numbers and the left-definite spectral analysis of the Legendre differential expressions. J. Comput. Appl. Math. 2002, 148.
    • (2002) J. Comput. Appl. Math. , vol.148
    • Everitt, W.N.1    Litlejohn, L.L.2    Wellman, R.3
  • 31
    • 0003584595 scopus 로고
    • Theory and Problems of Fourier Analysis
    • McGraw-Hill Inc., New York
    • Spiegel M.R. Theory and Problems of Fourier Analysis. Schaum's Outline Series 1994, McGraw-Hill Inc., New York.
    • (1994) Schaum's Outline Series
    • Spiegel, M.R.1
  • 34
    • 0037097068 scopus 로고    scopus 로고
    • Legendre expansion method for the solution of the second-and fourth-order elliptic equations
    • Elbarbary E.M.E. Legendre expansion method for the solution of the second-and fourth-order elliptic equations. Math. Comput. Simulat. 2002, 59:389-399.
    • (2002) Math. Comput. Simulat. , vol.59 , pp. 389-399
    • Elbarbary, E.M.E.1
  • 35
    • 81755169890 scopus 로고    scopus 로고
    • Legendre wavelet method for solving differential algebraic equations
    • Vanani S.K., Soleymani F., Avaji M. Legendre wavelet method for solving differential algebraic equations. Aust. J. Basic Appl. Sci. 2011, 5(9):2105-2110.
    • (2011) Aust. J. Basic Appl. Sci. , vol.5 , Issue.9 , pp. 2105-2110
    • Vanani, S.K.1    Soleymani, F.2    Avaji, M.3
  • 36
    • 84864941052 scopus 로고    scopus 로고
    • Numerical solution of functional differential equations using Legendre wavelets method
    • Vanani S.K., Hafshejani J.S., Soleymani F., Khan M. Numerical solution of functional differential equations using Legendre wavelets method. World Appl. Sci. J. 2011, 13(12):2522-2525.
    • (2011) World Appl. Sci. J. , vol.13 , Issue.12 , pp. 2522-2525
    • Vanani, S.K.1    Hafshejani, J.S.2    Soleymani, F.3    Khan, M.4
  • 37
    • 0037097068 scopus 로고    scopus 로고
    • Legendre expansion method for the solution of the second-and fourth-order elliptic equations
    • Elbarbary E.M.E. Legendre expansion method for the solution of the second-and fourth-order elliptic equations. Math. Comput. Simulat. 2002, 59:389-399.
    • (2002) Math. Comput. Simulat. , vol.59 , pp. 389-399
    • Elbarbary, E.M.E.1
  • 38
    • 0034174103 scopus 로고    scopus 로고
    • Approximation of Chebyshev and Legendre polynomials on discrete point set to function interpolation and solving Fredholm integral equations
    • Streltsov I.P. Approximation of Chebyshev and Legendre polynomials on discrete point set to function interpolation and solving Fredholm integral equations. Comput. Phys. Commun. 2000, 126:178-181.
    • (2000) Comput. Phys. Commun. , vol.126 , pp. 178-181
    • Streltsov, I.P.1
  • 39
    • 25644449925 scopus 로고    scopus 로고
    • A Taylor polynomial approach for solving high-order linear Fredholm integro-differential equations
    • Nas S., Sezer M. A Taylor polynomial approach for solving high-order linear Fredholm integro-differential equations. Int. J. Math. Educ. Sci. Technol. 2000, 31(2):213-225.
    • (2000) Int. J. Math. Educ. Sci. Technol. , vol.31 , Issue.2 , pp. 213-225
    • Nas, S.1    Sezer, M.2
  • 40
    • 0000992795 scopus 로고    scopus 로고
    • The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials
    • Yalçinbas S., Sezer M. The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials. Appl. Math. Comput. 2002, 112:291-308.
    • (2002) Appl. Math. Comput. , vol.112 , pp. 291-308
    • Yalçinbas, S.1    Sezer, M.2
  • 41
    • 0008173703 scopus 로고
    • Taylor polynomial solutions of Volterra integral equations
    • Sezer M. Taylor polynomial solutions of Volterra integral equations. Int. J. Math. Educ. Sci. Technol. 1994, 25(5):625-633.
    • (1994) Int. J. Math. Educ. Sci. Technol. , vol.25 , Issue.5 , pp. 625-633
    • Sezer, M.1
  • 42
    • 0042140516 scopus 로고    scopus 로고
    • Chebyshev Series Solutions of Fredholm Integral Equations
    • Sezer M., Kaynak M. Chebyshev Series Solutions of Fredholm Integral Equations. Int. J. Math. Educ. Sci. Technol. 1996, 27(5):649-657.
    • (1996) Int. J. Math. Educ. Sci. Technol. , vol.27 , Issue.5 , pp. 649-657
    • Sezer, M.1    Kaynak, M.2
  • 43
    • 63149157208 scopus 로고    scopus 로고
    • Legendre polynomial solutions of high-order linear Fredholm integro-differential equations
    • Yalçinbas S., Sezer M., Sorkun H.H. Legendre polynomial solutions of high-order linear Fredholm integro-differential equations. Appl. Math. Model. 2009, 210:334-349.
    • (2009) Appl. Math. Model. , vol.210 , pp. 334-349
    • Yalçinbas, S.1    Sezer, M.2    Sorkun, H.H.3
  • 44
    • 27944433953 scopus 로고    scopus 로고
    • A Taylor collocation method for the solution of linear integro-differential equations
    • Karamete A., Sezer M. A Taylor collocation method for the solution of linear integro-differential equations. Int. J. Comput. Math. 2002, 79(9):987-1000.
    • (2002) Int. J. Comput. Math. , vol.79 , Issue.9 , pp. 987-1000
    • Karamete, A.1    Sezer, M.2
  • 45
    • 79955876577 scopus 로고    scopus 로고
    • Numerical solutions of systems of linear Fredholm integro-differential equations with Bessel polynomial bases
    • Yüzbaşi Ş., Şahin N., Sezer M. Numerical solutions of systems of linear Fredholm integro-differential equations with Bessel polynomial bases. Comput. Math. Appl. 2011, 61(10):3079-3096.
    • (2011) Comput. Math. Appl. , vol.61 , Issue.10 , pp. 3079-3096
    • Yüzbaşi, Ş.1    Şahin, N.2    Sezer, M.3
  • 46
    • 80052270910 scopus 로고    scopus 로고
    • Bessel matrix method for solving high-order linear Fredholm integro-differential equations
    • Yüzbaşi ş., şahin N., Sezer M. Bessel matrix method for solving high-order linear Fredholm integro-differential equations. J. Adv. Res. Appl. Math. 2011, 3(2):23-47.
    • (2011) J. Adv. Res. Appl. Math. , vol.3 , Issue.2 , pp. 23-47
    • Yüzbaşi, Ş.1    Şahin, N.2    Sezer, M.3
  • 47
    • 80051802369 scopus 로고    scopus 로고
    • Bessel polynomial solutions of high-order linear Volterra integro-differential equations
    • Yüzbaşi Ş., Şahin N., Sezer M. Bessel polynomial solutions of high-order linear Volterra integro-differential equations. Comput. Math. Appl. 2011, 62(4):1940-1956.
    • (2011) Comput. Math. Appl. , vol.62 , Issue.4 , pp. 1940-1956
    • Yüzbaşi, Ş.1    Şahin, N.2    Sezer, M.3
  • 48
    • 79960173273 scopus 로고    scopus 로고
    • A collocation approach for solving systems of linear Volterra integral equations with variable coefficients
    • Şahin N., Yüzbaşi Ş., Gülsu M. A collocation approach for solving systems of linear Volterra integral equations with variable coefficients. Comput. Math. Appl. 2011, 62(2):755-769.
    • (2011) Comput. Math. Appl. , vol.62 , Issue.2 , pp. 755-769
    • Şahin, N.1    Yüzbaşi, Ş.2    Gülsu, M.3
  • 49
    • 84859869942 scopus 로고    scopus 로고
    • Bessel collocation approach for solving continuous population models for single and interacting species
    • Yüzbaşi Ş. Bessel collocation approach for solving continuous population models for single and interacting species. Appl. Math. Model. 2012, 36(8):3787-3802.
    • (2012) Appl. Math. Model. , vol.36 , Issue.8 , pp. 3787-3802
    • Yüzbaşi, Ş.1
  • 50
    • 84855195071 scopus 로고    scopus 로고
    • A collocation approach for solving modeling the pollution of a system of lakes
    • Yüzbaşi Ş., Şahin N., Sezer M. A collocation approach for solving modeling the pollution of a system of lakes. Math. Comput. Model. 2012, 55(3-4):330-341.
    • (2012) Math. Comput. Model. , vol.55 , Issue.3-4 , pp. 330-341
    • Yüzbaşi, Ş.1    Şahin, N.2    Sezer, M.3
  • 51
    • 33644585230 scopus 로고
    • Collocation and residual correction
    • Oliveira F.A. Collocation and residual correction. Numer. Math. 1980, 36:27-31.
    • (1980) Numer. Math. , vol.36 , pp. 27-31
    • Oliveira, F.A.1
  • 52
    • 9644281749 scopus 로고    scopus 로고
    • Approximate calculation of eigenvalues with the method of weighted residuals-collocation method
    • Çelik I. Approximate calculation of eigenvalues with the method of weighted residuals-collocation method. Appl. Math. Comput. 2005, 160:401-410.
    • (2005) Appl. Math. Comput. , vol.160 , pp. 401-410
    • Çelik, I.1
  • 53
    • 25144500559 scopus 로고    scopus 로고
    • Numerical solution of the general form linear Fredholm-Volterra integro-differential equations by the Tau method with an error estimation
    • Shahmorad S. Numerical solution of the general form linear Fredholm-Volterra integro-differential equations by the Tau method with an error estimation. Appl. Math. Comput. 2005, 167:1418-1429.
    • (2005) Appl. Math. Comput. , vol.167 , pp. 1418-1429
    • Shahmorad, S.1
  • 54
    • 33644588711 scopus 로고    scopus 로고
    • Collocation method and residual correction using Chebyshev series
    • Çelik I. Collocation method and residual correction using Chebyshev series. Appl. Math. Comput. 2006, 174:910-920.
    • (2006) Appl. Math. Comput. , vol.174 , pp. 910-920
    • Çelik, I.1
  • 55
    • 0037443341 scopus 로고    scopus 로고
    • Numerical solution of a class of integro-differential equations by the Tau method with an error estimation
    • Hosseini S.M., Shahmorad S. Numerical solution of a class of integro-differential equations by the Tau method with an error estimation. Appl. Math. Comput. 2003, 136:559-570.
    • (2003) Appl. Math. Comput. , vol.136 , pp. 559-570
    • Hosseini, S.M.1    Shahmorad, S.2
  • 56
    • 84966207195 scopus 로고
    • Convergence of a block-by-block method for nonlinear Volterra integrodifferential equations
    • Makroglou A. Convergence of a block-by-block method for nonlinear Volterra integrodifferential equations. Math. Comput. 1980, 35:783-796.
    • (1980) Math. Comput. , vol.35 , pp. 783-796
    • Makroglou, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.