Numerical solution of nonlinear Volterra–Fredholm–Hammerstein integral equations via Tau-collocation method with convergence analysis

• Published in: Journal of computational and applied mathematics Vol. 308; pp. 435 - 446
• Main Authors: Gouyandeh, Z., Allahviranloo, T., Armand, A.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.12.2016
• Subjects: Approximation; Computation; Convergence; Integral equations; Mathematical analysis; Mathematical models; Matrix representation; Nonlinear Volterra–Fredholm–Hammerstein integral equations; Nonlinearity; Sobolev space; Spectra; Tau-collocation method; Nonlinear Volterra–Fredholm–Hammerstein integral equations; Matrix representation; Tau-collocation method; Sobolev space

In this paper, we consider the nonlinear Volterra–Fredholm–Hammerstein integral equations. The approximate solution for the nonlinear Volterra–Fredholm–Hammerstein integral equations is obtained by using the Tau-Collocation method. To do this, the nonlinear Volterra–Fredholm–Hammerstein integral equ...