Solving linear and nonlinear Volterra Fuzzy Integral Equations System via Differential Transform Method
سال انتشار: 1401
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 212
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شناسه ملی سند علمی:
JR_FOMJ-3-3_002
تاریخ نمایه سازی: 11 آبان 1401
چکیده مقاله:
In this study, we consider solving the second kind Volterra fuzzy integral equations system in two cases linear and nonlinear by using a semi-analytic method, called Differential Transform Method (DTM). In this algorithm the first, we convert a Volterra fuzzy integral equations system into two crisp integral equations systems of Volterra; then we solve each of them via DTM. If the equation has a solution in terms of the series expansion of known functions; this powerful method will catch the exact solution. Moreover, the ability and efficiency of the algorithm are shown by solving some numerical examples.In this study, we consider solving the second kind Volterra fuzzy integral equations system in two cases linear and nonlinear by using a semi-analytic method, called Differential Transform Method (DTM). In this algorithm the first, we convert a Volterra fuzzy integral equations system into two crisp integral equations systems of Volterra; then we solve each of them via DTM. If the equation has a solution in terms of the series expansion of known functions; this powerful method will catch the exact solution. Moreover, the ability and efficiency of the algorithm are shown by solving some numerical examples.
کلیدواژه ها:
Fuzzy Integral Equations System ، Volterra Integral ، Differential transform method ، Error estimation
نویسندگان
Mahmoud Paripour
Department of Computer Engineering and Information Technology, Hamedan University of Technology, Hamedan, ۶۵۱۵۵-۵۷۹, Iran
Mandana Takrimi
Sama Technical and Vocational Training College, Islamic Azad University, Dezful Branch, Dezful, Iran.