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- Title
Taylor-Series Expansion Methods for Multivariate Hammerstein Integral Equations.
- Authors
Khomsan Neamprem; Apinya Klangrak; Hideaki Kaneko
- Abstract
A new Taylor-series method which was originally developed for the solution of one-dimensional integral equations is extended to solve multivariate nonlinear integral equations. In this paper, a new method is constructed to approximate the solutions of a class of multivariate Hammerstein equations. One of the strength of the new method is that it lends itself to parallel computation. Hence it is a very highly efficient method. Another strength of the proposed method is that it also gives highly accurate approximations for all the derivatives of the solution up to the order of the Taylor-series approximation used in the method. Numerical examples are given to illustrate the efficiency and accuracy of the method.
- Subjects
POLYNOMIALS; FUNCTIONAL analysis; MATHEMATICAL series; MATHEMATICAL analysis
- Publication
IAENG International Journal of Applied Mathematics, 2017, Vol 47, Issue 4, p437
- ISSN
1992-9978
- Publication type
Article