Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets

Institution:	1. School of Science, Ningbo University of Technology, 315211 Ningbo, China;2. School of Applied Mathematics, Xiamen University of Technology, 361024 Xiamen, China;1. Department of Mathematics, University of Peshawar, Pakistan;2. Department of Basic Sciences, University of Engineering and Technology Peshawar, Pakistan;3. Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, Roma 00186, Italy;4. Department of Mathematics, University of Malakand, Pakistan;5. Institute of Structural Analysis, Poznan University of Technology, Piotrowo 5 Street, Poznan 60-965, Poland

Abstract:	A computational method for numerical solution of a nonlinear Volterra integro-differential equation of fractional (arbitrary) order which is based on CAS wavelets and BPFs is introduced. The CAS wavelet operational matrix of fractional integration is derived and used to transform the main equation to a system of algebraic equations. Some examples are included to demonstrate the validity and applicability of the technique.

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