Numerical solutions of the nonlinear two-dimensional Volterra integral equations. (English) Zbl 1185.65231
Summary: We study the approximate solution of two-dimensional nonlinear Volterra integral equations by two-dimensional differential transform method. New theorems for the transformation of integrals are introduced and proved. We give an applicable relation between the two-dimensional nonlinear Volterra integral equations and two-dimensional differential transformation, in order to solve integral equations. Numerical examples are used to illustrate the preciseness and effectiveness of the proposed method.
MSC:
65R20 | Numerical methods for integral equations |
45D05 | Volterra integral equations |
45G10 | Other nonlinear integral equations |