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Title حل دسته اي خاص از معادلات انتگرال-ديفرانسيل فردهلم غير خطي با استفاده از تركيب توابع تكانه بلوكي و چند جملهاي هاي برنشتاين متعامد يكه
Type Thesis
Keywords Nonlinear Fredholm integro-differential equations,Hybrid functions,Block pulse functions, Bernstein polynomials.
Abstract A numerical method for solving nonlinear Fredholm integro-differential equations is proposed.This method is based on hybrid function approximation.Some properties of a hybrid of block pulse functions and orthonormal Bernstein polynomials are given and utilized to reduce the problem to the solution of nonlinear algebraic equations.Numerical examples are also introduced to illustrate the effectiveness and simplicity of the present method.
Researchers Saeed Karimi (Primary advisor) , Alireza Ataei (Advisor)