Open AccessRunge-Kutta and Block by Block Methods to Solve Linear Two-Dimensional Volterra Integral Equation with Continuous Kernel
Author(s) -
A. M. AlBugami
Publication year - 2016
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v11i10.791
Subject(s) - mathematics , volterra integral equation , block (permutation group theory) , kernel (algebra) , integral equation , uniqueness , mathematical analysis , volterra equations , nonlinear system , discrete mathematics , combinatorics , physics , quantum mechanics
In this paper, the existence and uniqueness of solution of the linear two dimensional Volterra integral equation of the second kind with Continuous Kernel are discussed and proved.RungeKutta method(R. KM)and Block by block method (B by BM) are used to solve this type of two dimensional Volterra integral equation of the second kind. Numerical examples are considered to illustrate the effectiveness of the proposed methods and the error is estimated.