A New Method for Solving Nonlinear Volterra-Hammerstein Integral Equations Via Single-Term Walsh Series
سال انتشار: 1399
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 240
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شناسه ملی سند علمی:
JR_MACO-1-2_006
تاریخ نمایه سازی: 2 بهمن 1399
چکیده مقاله:
In this article, the properties of single-term Walsh series are presented and utilized for solving the nonlinear Volterra-Hammerstein integral equations of second kind. The interval [0;1) is divided tomequal subintervals,mis a positive integer number. The midpoint of each subinterval is chosen as a suitable collocation point. By the method the computations of integral equations reduce into some nonlinear algebraic equations. The method is computationally attractive, and gives a continuous approximate solution. An analysis for the convergence of method is presented.The efficiency and accuracy of the method are demonstrated through illustrative examples. Some comparisons aremade with the existing results.
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نویسندگان
Behnam Sepehrian
Department of Mathematics, Faculty of Science, Arak University, Arak ۳۸۱۵۶-۸-۸۳۴۹, Iran
Mohsen Razzaghi
Department of Mathematics and Statistics Mississippi State University, Mississippi State, MS ۳۹۷۶۲, USA