Numerical solutions of nonlinear volterra-fredholm integro differential-difference equations
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CitationDarania, P. ve Ivaz, K. (2009). Numerical solutions of nonlinear volterra-fredholm integro differential-difference equations. Maltepe Üniversitesi. s. 324.
In this paper, by using the theories and methods of mathematics analysis and computer algebra, a new reliable algorithm for solving high-order nonlinear VolterraFredholm integro differential-difference equationi, will establish, where f(x), K1(x, t, y(t)), K2(x, t, y(t)), prj (x), r = 0, 1, ..., R and j = 0, 1, 2, ..., m are functions that have suitable derivatives on an interval a ≤ x, t ≤ b, and a, b, λ1, λ2 and αrj , βrj , µi (i = 0, 1, 2, ..., m − 1) are constants. The results of the examples indicated that this 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. Results of approximate solution to test problems are demonstrated.
SourceInternational Conference of Mathematical Sciences
- Makale Koleksiyonu 
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