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Numerical solution of nonlinear Volterra-Fredholm integro-differential equations via direct method using triangular functions. (English) Zbl 1189.65306
Summary: An effective direct method to determine the numerical solution of the specific nonlinear Volterra-Fredholm 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.
65R20Integral equations (numerical methods)
45J05Integro-ordinary differential equations
34K28Numerical approximation of solutions of functional-differential equations
45B05Fredholm integral equations
45D05Volterra integral equations
65L05Initial value problems for ODE (numerical methods)
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