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an application of s-elementary wavelets in numerical solution of differential and fractional integral equations
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نویسنده
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kheirdeh mohammad javad ,askari hemmat ataollah ,saeedi habibollah
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منبع
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journal of mahani mathematical research - 2022 - دوره : 11 - شماره : 3 - صفحه:15 -31
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چکیده
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In this article we introduce wavelet sets and consider a special wavelet set in r. we build a basis associated to this type wavelet sets and use operational matrix of this basis to solve nonlinear riccati differential equations and riemann-liouville fractional integral equations of order $alpha >0$, numerically. convergence analysis of this basis is investigated. also, we give examples that show the accuracy of the new method by comparing it with previous methods.
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کلیدواژه
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integro-differential equations ,fractional calculus ,wavelet sets ,s-elementary wavelets
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آدرس
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payame noor university (pnu)p. o. box 19395-4697, department of mathematics, iran, shahid bahonal university of kerman, faculty of mathematics and computer, department of applied mathematics, iran, shahid bahonar university of kerman, faculty of mathematics and computer & mahani mathematical research center, department of applied mathematics, iran
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پست الکترونیکی
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saeedi@uk.ac.ir
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Authors
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