solution of nonlinear volterra-hammerstein integral equations using alternative legendre collocation method
نویسندگان
چکیده
alternative legendre polynomials (alps) are used to approximate the solution of a class of nonlinear volterra-hammerstein integral equations. for this purpose, the operational matrices of integration and the product for alps are derived. then, using the collocation method, the considered problem is reduced into a set of nonlinear algebraic equations. the error analysis of the method is given and the efficiency and accuracy are illustrated by applying the method to some examples.
منابع مشابه
Solution of nonlinear Volterra-Hammerstein integral equations using alternative Legendre collocation method
Alternative Legendre polynomials (ALPs) are used to approximate the solution of a class of nonlinear Volterra-Hammerstein integral equations. For this purpose, the operational matrices of integration and the product for ALPs are derived. Then, using the collocation method, the considered problem is reduced into a set of nonlinear algebraic equations. The error analysis of the method is given an...
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Alternative Legendre polynomials (ALPs) are used to approximate the solution of a class of nonlinear Volterra-Hammerstein integral equations. For this purpose, the operational matrices of integration and the product for ALPs are derived. Then, using the collocation method, the considered problem is reduced into a set of nonlinear algebraic equations. The error analysis of the method is given an...
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sahand communications in mathematical analysisجلد ۴، شماره ۱، صفحات ۵۷-۷۷
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