## An algorithm for solving the high-order nonlinear Volterra-Fredholm integro-differential equation with mechanization.(English)Zbl 1088.65118

Summary: By using the theories and methods of mathematics analysis and computer algebra, a reliable algorithm for solving high-order nonlinear Volterra-Fredholm integro-differential equations was established, and a new Maple procedure voltfredproc was established, too. The results of the examples indicated that the procedure voltfredproc of Taylor polynomial method is simple and effective, and could provide an accuracy approximate solution or exact solution of the high-order nonlinear Volterra-Fredholm integro-differential equation. This would be useful for solving integro-differential equation, integral equations and ordinary differential equation.

### MSC:

 65R20 Numerical methods for integral equations 45J05 Integro-ordinary differential equations 45G10 Other nonlinear integral equations

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### References:

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