Triangular functions (TF) method for the solution of nonlinear Volterra-Fredholm integral equations

Communications in Nonlinear Science and Numerical Simulation

Volumn 15, Issue 11, 2010, Pages 3293-3298

  Maleknejad, K ^a   Almasieh, H ^a   Roodaki, M ^a  

^a ISLAMIC AZAD UNIVERSITY   (Iran)

Author keywords

Integral equations; Nonlinear; Triangular functions; Volterra Fredholm

Indexed keywords

ALGEBRA; FREDHOLM INTEGRAL EQUATIONS; NUMERICAL METHODS; ORTHOGONAL FUNCTIONS;

ALGEBRAIC EQUATIONS; COLLOCATION METHOD; CONVERGENCE ANALYSIS; FUNCTION METHODS; NONLINEAR; TRIANGULAR FUNCTIONS; VOLTERRA-FREDHOLM; VOLTERRA-FREDHOLM INTEGRAL EQUATIONS;

NONLINEAR EQUATIONS;

EID: 77952236739     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.12.015     Document Type: Review

References (9)

1. Maleknejad K., and Kajani M.T. Solving integro-differential equation by using Hybrid Legendre and block-pulse functions. Int J Appl Math 11 1 (2002) 67-76
2. Elnagar G.N., and Kazemi M. Chebyshev spectral solution of nonlinear Volterra-Hammerstein integral equations. J Comput Appl Math 76 (1996) 147-158
3. Daubechies I. Ten lectures on wavelets, CBMS-NSF regional conference series in applied mathematics. Philadelphia: SIAM; 1992.
4. Yousefi S., and Razzaghi M. Legendre wavelets method for the nonlinear Volterra-Fredholm integral equations. Math Comput Simulat 70 (2005) 1-8
5. Deb A., Sarkar G., and Sengupta A. Triangular orthogonal functions for the analysis of continuous time systems (2007), Elsevier, New Delhi
6. Deb A., Dasgupta A., and Sarkar G. A new set of orthogonal functions and its application to the analysis of dynamic systems. J Franklin Inst 343 1 (2006) 1-26
7. Delves L.M., and Mohamed J.L. Computational methods for integral equations (1985), Cambridge University Press
8. EL-Kalla I.L. Convergence of the Adomian method applied to a class of nonlinear integral equations. Appl Math Lett 21 (2008) 372-376
9. Biazar J., and Ghazvini H. Numerical solution for special equation by HPM. Appl Math Comput 195 (2008) 681-687