Numerical solution of nonlinear VolterraFredholm integro-differential equations via direct method using triangular functions
An effective direct method to determine the numerical solution of the specific nonlinear VolterraFredholm integro-differential equations is proposed. The method is based on new vector forms for representation of triangular functions and its operational matrix. This approach needs no integration, so all calculations can be easily implemented. Some numerical examples are provided to illustrate the accuracy and computational efficiency of the method.
direct method triangular functions vector forms operational matrix nonlinear integro-differential equations