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Volumn 51, Issue 1, 2006, Pages 33-40

One-phase inverse stefan problem solved by adomian decomposition method

Author keywords

Adomian decomposition method; Heat equation; Inverse Stefan problem

Indexed keywords

BOUNDARY CONDITIONS; FUNCTIONS; LEAST SQUARES APPROXIMATIONS; PROBLEM SOLVING; TEMPERATURE DISTRIBUTION;

EID: 33745142257     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2005.08.028     Document Type: Article
Times cited : (41)

References (36)
  • 1
    • 0031554193 scopus 로고    scopus 로고
    • A bidimensional inverse Stefan problem: identification of boundary value
    • Ang D.D., Pham Ngoc Dinh A., and Thanh D.N. A bidimensional inverse Stefan problem: identification of boundary value. J. Comput. Appl. Math. 80 (1997) 227-240
    • (1997) J. Comput. Appl. Math. , vol.80 , pp. 227-240
    • Ang, D.D.1    Pham Ngoc Dinh, A.2    Thanh, D.N.3
  • 2
    • 0032349945 scopus 로고    scopus 로고
    • Regularization of an inverse two-phase Stefan problem
    • Ang D.D., Pham Ngoc Dinh A., and Thanh D.N. Regularization of an inverse two-phase Stefan problem. Nonlinear Anal. 34 (1998) 719-731
    • (1998) Nonlinear Anal. , vol.34 , pp. 719-731
    • Ang, D.D.1    Pham Ngoc Dinh, A.2    Thanh, D.N.3
  • 3
    • 84976129432 scopus 로고
    • The inverse Stefan problem for the heat equation in two space variables
    • Colton D. The inverse Stefan problem for the heat equation in two space variables. Mathematika 21 (1974) 282-286
    • (1974) Mathematika , vol.21 , pp. 282-286
    • Colton, D.1
  • 4
    • 2942571757 scopus 로고
    • The inverse Stefan problem as a problem of nonlinear approximation theory
    • Jochum P. The inverse Stefan problem as a problem of nonlinear approximation theory. J. Approx. Theory 30 (1980) 81-98
    • (1980) J. Approx. Theory , vol.30 , pp. 81-98
    • Jochum, P.1
  • 5
    • 0038271532 scopus 로고
    • The numerical solution of the inverse Stefan problem
    • Jochum P. The numerical solution of the inverse Stefan problem. Numer. Math. 34 (1980) 411-429
    • (1980) Numer. Math. , vol.34 , pp. 411-429
    • Jochum, P.1
  • 6
    • 0021504329 scopus 로고
    • The numerical solution of the inverse Stefan problem in two space variables
    • Colton D., and Reemtsen R. The numerical solution of the inverse Stefan problem in two space variables. SIAM J. Appl. Math. 44 (1984) 996-1013
    • (1984) SIAM J. Appl. Math. , vol.44 , pp. 996-1013
    • Colton, D.1    Reemtsen, R.2
  • 8
    • 84947567209 scopus 로고    scopus 로고
    • Multi-phase inverse Stefan problems solved by approximation method
    • Parallel Processing and Applied Mathematics. Wyrzykowski R., et al. (Ed), Springer, Pula
    • Grzymkowski R., and Sl{middle dot}ota D. Multi-phase inverse Stefan problems solved by approximation method. In: Wyrzykowski R., et al. (Ed). Parallel Processing and Applied Mathematics. LNCS 2328 (2002), Springer, Pula 679-686
    • (2002) LNCS 2328 , pp. 679-686
    • Grzymkowski, R.1    Slota, D.2
  • 9
    • 0026860536 scopus 로고
    • Design of two-dimensional Stefan processes with desired freezing front motions
    • Zabaras N., Ruan Y., and Richmond O. Design of two-dimensional Stefan processes with desired freezing front motions. Numer. Heat Transf. B 21 (1992) 307-325
    • (1992) Numer. Heat Transf. B , vol.21 , pp. 307-325
    • Zabaras, N.1    Ruan, Y.2    Richmond, O.3
  • 10
    • 0028464209 scopus 로고
    • Dynamic programming approach to the inverse Stefan design problem
    • Zabaras N., and Yuan K. Dynamic programming approach to the inverse Stefan design problem. Numer. Heat Transf. B 26 (1994) 97-104
    • (1994) Numer. Heat Transf. B , vol.26 , pp. 97-104
    • Zabaras, N.1    Yuan, K.2
  • 11
    • 0028992098 scopus 로고
    • Control of freezing interface motion in two-dimensional solidification processes using the adjoint method
    • Kang S., and Zabaras N. Control of freezing interface motion in two-dimensional solidification processes using the adjoint method. Int. J. Numer. Methods Eng. 38 (1995) 63-80
    • (1995) Int. J. Numer. Methods Eng. , vol.38 , pp. 63-80
    • Kang, S.1    Zabaras, N.2
  • 12
    • 0024891895 scopus 로고
    • Determination of one or two unknown thermal coefficients of a semi-infinite material through a two-phase Stefan problem
    • Stampella M.B., and Tarzia D.A. Determination of one or two unknown thermal coefficients of a semi-infinite material through a two-phase Stefan problem. Int. J. Eng. Sci. 27 (1989) 1407-1419
    • (1989) Int. J. Eng. Sci. , vol.27 , pp. 1407-1419
    • Stampella, M.B.1    Tarzia, D.A.2
  • 13
    • 33745148148 scopus 로고
    • On a new variant for the simultaneous calculation of thermal coefficients of a semi-infinite material by direct or inverse two-phase Stefan problem
    • Tarzia D.A. On a new variant for the simultaneous calculation of thermal coefficients of a semi-infinite material by direct or inverse two-phase Stefan problem. Math. Notae 35 (1991) 25-41
    • (1991) Math. Notae , vol.35 , pp. 25-41
    • Tarzia, D.A.1
  • 15
    • 2942549510 scopus 로고    scopus 로고
    • Numerical calculations of the heat-transfer coefficient during solidification of alloys
    • Sarler B., et al. (Ed), Wit Press, Anaheim, CA
    • Grzymkowski R., and Sl{middle dot}ota D. Numerical calculations of the heat-transfer coefficient during solidification of alloys. In: Sarler B., et al. (Ed). Moving Boundaries VI (2001), Wit Press, Anaheim, CA 41-50
    • (2001) Moving Boundaries VI , pp. 41-50
    • Grzymkowski, R.1    Slota, D.2
  • 16
    • 10444252652 scopus 로고    scopus 로고
    • Determination of the heat-transfer coefficient during solidification of alloys
    • Slodička M., and De Schepper H. Determination of the heat-transfer coefficient during solidification of alloys. Comput. Methods Appl. Mech. Engrg. 194 (2005) 491-498
    • (2005) Comput. Methods Appl. Mech. Engrg. , vol.194 , pp. 491-498
    • Slodička, M.1    De Schepper, H.2
  • 19
    • 0041185368 scopus 로고
    • A review of the decomposition method in applied mathematics
    • Adomian G. A review of the decomposition method in applied mathematics. J. Math. Anal. Appl. 135 (1988) 501-544
    • (1988) J. Math. Anal. Appl. , vol.135 , pp. 501-544
    • Adomian, G.1
  • 20
    • 0035840358 scopus 로고    scopus 로고
    • Exact solutions to nonlinear diffusion equations obtained by the decomposition method
    • Wazwaz A.-M. Exact solutions to nonlinear diffusion equations obtained by the decomposition method. Appl. Math. Comput. 123 (2001) 109-122
    • (2001) Appl. Math. Comput. , vol.123 , pp. 109-122
    • Wazwaz, A.-M.1
  • 21
    • 0036630244 scopus 로고    scopus 로고
    • Convergence of Adomian's decomposition method: periodic temperatures
    • Lesnic D. Convergence of Adomian's decomposition method: periodic temperatures. Computers Math. Applic. 44 1/2 (2002) 13-24
    • (2002) Computers Math. Applic. , vol.44 , Issue.1-2 , pp. 13-24
    • Lesnic, D.1
  • 22
    • 0346119929 scopus 로고    scopus 로고
    • Exact solutions for heat-like and wave-like equations with variable coefficients
    • Wazwaz A.-M., and Gorguis A. Exact solutions for heat-like and wave-like equations with variable coefficients. Appl. Math. Comput. 149 (2004) 15-29
    • (2004) Appl. Math. Comput. , vol.149 , pp. 15-29
    • Wazwaz, A.-M.1    Gorguis, A.2
  • 23
    • 10444220985 scopus 로고    scopus 로고
    • Solution of linear and nonlinear parabolic equations by the decomposition method
    • Soufyane A., and Boulmalf M. Solution of linear and nonlinear parabolic equations by the decomposition method. Appl. Math. Comput. 162 (2005) 687-693
    • (2005) Appl. Math. Comput. , vol.162 , pp. 687-693
    • Soufyane, A.1    Boulmalf, M.2
  • 24
    • 12444296497 scopus 로고    scopus 로고
    • An application for linear and nonlinear heat equations by Adomian's decomposition method
    • Pamuk S. An application for linear and nonlinear heat equations by Adomian's decomposition method. Appl. Math. Comput. 163 (2005) 89-96
    • (2005) Appl. Math. Comput. , vol.163 , pp. 89-96
    • Pamuk, S.1
  • 25
    • 23644436694 scopus 로고    scopus 로고
    • A reliable technique for solving the wave equation in an infinite one-dimensional medium
    • Wazwaz A.-M. A reliable technique for solving the wave equation in an infinite one-dimensional medium. Appl. Math. Comput. 92 (1998) 1-7
    • (1998) Appl. Math. Comput. , vol.92 , pp. 1-7
    • Wazwaz, A.-M.1
  • 26
    • 0035840362 scopus 로고    scopus 로고
    • Blow-up for solutions of some linear wave equations with mixed nonlinear boundary conditions
    • Wazwaz A.-M. Blow-up for solutions of some linear wave equations with mixed nonlinear boundary conditions. Appl. Math. Comput. 123 (2001) 133-140
    • (2001) Appl. Math. Comput. , vol.123 , pp. 133-140
    • Wazwaz, A.-M.1
  • 27
    • 31244438418 scopus 로고    scopus 로고
    • The Cauchy problem for the wave equation using the decomposition method
    • Lesnic D. The Cauchy problem for the wave equation using the decomposition method. Appl. Math. Lett. 15 6 (2002) 697-701
    • (2002) Appl. Math. Lett. , vol.15 , Issue.6 , pp. 697-701
    • Lesnic, D.1
  • 28
    • 0002253088 scopus 로고
    • Application of the decomposition method to identify the distributed parameters of an elliptical equation
    • Guellal S., and Cherruault Y. Application of the decomposition method to identify the distributed parameters of an elliptical equation. Mathl. Comput. Modelling 21 4 (1995) 51-55
    • (1995) Mathl. Comput. Modelling , vol.21 , Issue.4 , pp. 51-55
    • Guellal, S.1    Cherruault, Y.2
  • 29
    • 0005001094 scopus 로고    scopus 로고
    • The decomposition approach to inverse heat conduction
    • Lesnic D., and Elliott L. The decomposition approach to inverse heat conduction. J. Math. Anal. Appl. 232 (1999) 82-98
    • (1999) J. Math. Anal. Appl. , vol.232 , pp. 82-98
    • Lesnic, D.1    Elliott, L.2
  • 30
    • 27944450383 scopus 로고    scopus 로고
    • Stefan problem solved by Adomian decomposition method
    • Grzymkowski R., and Sl{middle dot}ota D. Stefan problem solved by Adomian decomposition method. Inter. J. Computer Math. 82 (2005) 851-856
    • (2005) Inter. J. Computer Math. , vol.82 , pp. 851-856
    • Grzymkowski, R.1    Slota, D.2
  • 31
    • 0347450513 scopus 로고    scopus 로고
    • A new algorithm for calculating Adomian polynomials for nonlinear operators
    • Wazwaz A.-M. A new algorithm for calculating Adomian polynomials for nonlinear operators. Appl. Math. Comput. 111 (2000) 53-69
    • (2000) Appl. Math. Comput. , vol.111 , pp. 53-69
    • Wazwaz, A.-M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.