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a finite difference method for smooth solution of a system of linear volterra integral equations
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نویسنده
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jalalvand m ,mokhtarzadeh m.r. ,toubaei s.
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منبع
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مدل سازي پيشرفته رياضي - 2024 - دوره : 14 - شماره : 3 - صفحه:1 -15
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چکیده
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In this paper, we propose a finite difference numerical method for the smooth solution of a system of linear volterra integral equations. this method is a generalization of the finite difference method proposed in and for scalar linear volterra integral equations. error analysis of this method is presented via asymptotic expansion of the absolute error, and verification of accuracy is examined by two illustrative test problems.
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کلیدواژه
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am-gm inequality ,morley’s theorem
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آدرس
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shahid chamran university of ahvaz, faculty of mathematical sciences and computer, department of mathematics, iran, institute for research in fundamental sciences, school of mathematics, iran, islamic azad university, ahvaz branch, department of mathematics, iran
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پست الکترونیکی
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stoobaei@yahoo.com
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a finite difference method for smooth solution of a system of linear volterra integral equations
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Authors
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Abstract
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in this paper, we propose a finite difference numerical method for the smooth solution of a system of linear volterra integral equations. this method is a generalization of the finite difference method proposed in and for scalar linear volterra integral equations. error analysis of this method is presented via asymptotic expansion of the absolute error, and verification of accuracy is examined by two illustrative test problems.
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Keywords
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am-gm inequality ,morley’s theorem
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