Wavelet-based collocation technique for fractional integro-differential equation with weakly singular kernel

被引：1
|
作者：
Mouley, Jyotirmoy [1 ]
Mandal, B. N. [2 ]
机构：
[1] Univ Calcutta, Dept Appl Math, Kolkata, India
[2] Indian Stat Inst, Phys & Appl Math Unit, 203 BT Rd, Kolkata 700108, India
来源：
COMPUTATIONAL AND MATHEMATICAL METHODS | 2021年 / 3卷 / 04期
关键词：
collocation method; fractional derivative; multiscale basis of Daubechies family; weakly singular fractional integro-differential equation;
D O I：
10.1002/cmm4.1158
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Fractional integro-differential equation (FIDE) with weakly singular kernel is an important topic in mathematics and engineering dealing with mathematical modeling and simulation of numerous systems and processes. A wavelet-based collocation technique has been developed here to obtain approximate numerical solution of a FIDE with weakly singular kernel. The present method avoids complicated integrations and elaborate numerical calculations. The multiscale error approximation associated with this method has also been explained. The efficiency of the proposed method has been demonstrated by including some illustrative examples.
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页数：17
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