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Zbl 1088.65118
Wang, Weiming
An algorithm for solving the high-order nonlinear Volterra-Fredholm integro-differential equation with mechanization. (English)
[J] Appl. Math. Comput. 172, No. 1, 1-23 (2006). ISSN 0096-3003

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 {\it voltfredproc} was established, too. The results of the examples indicated that the procedure {\it 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 2000:: *65R20 Integral equations (numerical methods)
45J05 Integro-ordinary differential equations
45G10 Nonsingular nonlinear integral equations

Keywords: algorithm; Taylor polynomial; mechanization; Maple; numerical examples; high-order nonlinear Volterra-Fredholm integro-differential equations; Maple procedure voltfredproc

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