Generalized Gegenbauer–Humbert wavelets for solving fractional partial differential equations

被引：0
作者：
Jumana H. S. Alkhalissi
Ibrahim Emiroglu
Mustafa Bayram
Aydin Secer
Fatih Tasci
机构：
[1] Yildiz Technical University,Department of Mathematical Engineering
[2] Biruni University,Department of Computer Engineering
来源：
Engineering with Computers | 2023年 / 39卷
关键词：
Fractional partial differential equations; The generalized Gegenbauer–Humbert; Operational matrix; 00-01; 99-00;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This article develops a method based on the generalized Gegenbauer–Humbert wavelets in concert with their operational matrices of fractional integration to deal with the fractional partial differential equations and find the approximate solutions of it. The goal is to show that the proposed method is appropriate for boundary and initial-boundary problems even though it is generalized form. The convergence of the method under study is investigated. The numerical results gained by the proposed method are considered and compared with other methods, to establish the effectiveness and accuracy.
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页码：1363 / 1374
页数：11
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