WAVELET-BASED NUMERICAL METHOD FOR SOLVING FRACTIONAL INTEGRO-DIERENTIAL EQUATION WITH A WEAKLY SINGULAR KERNEL

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MOHAMMADI FAKHRODIN; CIANCIO ARMANDO

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Journal Paper

Paper Information

Journal: WAVELET AND LINEAR ALGEBRA Year:2017 | Volume:4 | Issue:1 Page(s): 53-73

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Information Journal Paper

Title

WAVELET-BASED NUMERICAL METHOD FOR SOLVING FRACTIONAL INTEGRO-DIERENTIAL EQUATION WITH A WEAKLY SINGULAR KERNEL

Author(s)

MOHAMMADI FAKHRODIN | CIANCIO ARMANDO | Issue Writer Certificate

Keywords

WAVELET BASIS

COLLOCATION METHOD

FRACTIONAL INTEGRO-DI ERENTIAL EQUATION

Abstract

This paper describes and compares application of WAVELET BASIS and Block-Pulse functions (BPFs) for solving fractional integrodi erential equation (FIDE) with a weakly singular kernel. First, a COLLOCATION METHOD based on Haar wavelets (HW), Legendre wavelet (LW), Chebyshev wavelets (CHW), second kind Chebyshev wavelets (SKCHW), Cos and Sin wavelets (CASW) and BPFs are presented for driving approximate solution FIDEs with a weakly singular kernel. Error estimates of all proposed numerical methods are given to test the convergence and accuracy of the method. A comparative study of accuracy and computational time for the presented techniques is given.

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APA: Copy

MOHAMMADI, FAKHRODIN, & CIANCIO, ARMANDO. (). . , (), -. SID. https://sid.ir/paper/339493/en

Vancouver: Copy

MOHAMMADI FAKHRODIN, CIANCIO ARMANDO. . [Internet]. ;():-. Available from: https://sid.ir/paper/339493/en

IEEE: Copy