Two-dimensional Legendre wavelets method for the mixed Volterra-Fredholm integral equations

JVC/Journal of Vibration and Control

Volumn 13, Issue 11, 2007, Pages 1667-1675

  Banifatemi, E ^a   Razzaghi, M ^a,b   Yousefi, S ^c  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

^b MISSISSIPPI STATE UNIVERSITY   (United States)

^c SHAHID BEHESHTI UNIVERSITY   (Iran)

Author keywords

Legendre wavelets; Mixed integral equations; Numerical method; Volterra Fredholm

Indexed keywords

APPROXIMATION THEORY; INTEGRAL EQUATIONS; NUMERICAL METHODS; PROBLEM SOLVING;

LEGENDRE WAVELETS; MIXED INTEGRAL EQUATIONS; VOLTERRA-FREDHOLM;

WAVELET TRANSFORMS;

EID: 34848822537     PISSN: 10775463     EISSN: 17412986     Source Type: Journal    
DOI: 10.1177/1077546307078751     Document Type: Article

References (20)

1. Beylkin, G., Coifman, R., and Rokhlin, V., 1991, " Fast wavelet transforms and numerical algorithms, " Communications on Pure and Applied Mathematics 44, 141 - 183.
2. Brunner, H., 1990, " On the numerical solution of nonlinear Volterra-Fredholm integral equations by collocation methods, " SIAM Journal on Numerical Analysis 27, 987 - 1000.
3. Canuto, C., Hussaini, M.Y., Quarteroni, A., and Zang, T., 1987, Spectral Methods in Fluid Dynamics SpringerVerlag, New York.
4. Chui, C.K., 1997, Wavelets: A Mathematical Tool for Signal Analysis, SIAM, Philadelphia, PA.
5. Constantinides, A., 1987, Applied Numerical Methods with Personal Computers, McGraw-Hill, New York.
6. Diekmann, O., 1978, " Thresholds and traveling for the geographical spread of infection, " Journal of Mathematical Biology 6, 109 - 130.
7. Elnagar, G.N. and Kazemi, M., 1996, " Chebyshev spectral solution of nonlinear Volterra-Hammerstein integral equations, " Journal of Computational and Applied Mathematics 76, 147 - 158.
8. Elnagar, G.N. and Razzaghi, M., 1996, " A Pseudospectral Method for Hammerstein equations, " Journal of Mathematical Analysis and Applications 199, 579 - 591.
9. Gu, J.S. and Jiang, W.S., 1996, " The Haar wavelets operational matrix of integration," International Journal of Systems Science 27, 623 - 628.
10. Guoqiang, H., and Liqing, Z., 1994, " Asymptotic error expansion for the trapezoidal Nystrom method of linear Volterra-Fredholm integral equations, " Journal of Computational and Applied Mathematics 51, 339 - 348.
11. Hacia, L., 1996, " On approximate solution for integral equations of mixed type, " Journal of Applied Mathematics and Mechanics (ZAMM) 76, 415 - 416.
12. Hacia, L., 2002, " Projection methods for integral equations in epidemic " Journal of Mathematical Modelling and Analysis 7, 229 - 240.
13. Kauthen, J.P., 1989, " Continuous time collocation method for Volterra-Fredholm integral equations, " Numerische Mathematik 56, 409 - 424.
14. Maleknejad, K. and Hadizadeh, M., 1999, " A new computational method for Volterra-Fredholm integral equations " Computers & Mathematics with Applications 37, 1 - 8.
15. Ming, Q., Hwang, C., and Shih, Y.P., 1996, " The Computation of wavelet-Galerkin approximation on a bounded interval, " International Journal for Numerical Methods in Engineering 39, 2921 - 2944.
16. Pachpatta, B.G., 1986, " On mixed Volterra-Fredholm type integral equations, " Indian Journal of Pure and Applied Mathematics 17, 488 - 496.
17. Razzaghi, M. and Yousefi, S., 2000, " Legendre wavelets direct method for variational problems " Mathematics and Computers in Simulation 53, 185 - 192.
18. Razzaghi, M. and Yousefi, S., 2002, " Legendre wavelets method for constrained optimal control problems " Mathematical Methods in the Applied Sciences 25, 529 - 539.
19. Thieme, H.R., 1997, " A model for the spatial spread of an epidemic," Journal of Mathematical Biology 4, 337 - 351.
20. Wazwaz, A.M., 2002, " A reliable treatment for mixed Volterra-Fredholm integral equations " Applied Mathematics and Computation 127, 405 - 414.