A NEW RECURSIVE SCHEME FOR SOLVING THE GENERAL DISPERSIVE FRACTIONAL PARTIAL DIFFERENTIAL EQUATION

被引：0
|
作者：
Mennouni, Abdelaziz [1 ]
Bougoffa, Lazhar [2 ]
机构：
[1] Univ Batna 2, Dept Math, LTM, Batna 05078, Algeria
[2] Imam Mohammad Ibn Saud Islamic Univ, Fac Sci, Dept Math, POB 90950, Riyadh 11623, Saudi Arabia
来源：
ROMANIAN REPORTS IN PHYSICS | 2023年 / 75卷 / 02期
关键词：
Fractional differential equations; nonlinear dispersive equation; Adomian decomposition method; BOUNDARY-VALUE-PROBLEMS; ADOMIAN DECOMPOSITION METHOD; INTEGRAL-EQUATIONS; NUMERICAL-METHODS; 3RD-ORDER;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The purpose of this research is to use an intriguing variant of the Adomian decomposition method to resolve an initial-value problem for the general dispersive fractional partial differential equation. By combining the Adomian decomposition method with a stunning recurrence formula and using the solutions of the wellestablished generalized Abel equation, a novel recursive strategy is developed. It has been demonstrated that our approach may be advantageous for computing the components vn, n = 1, 2, ... in a formula that is easily computed.
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页数：15
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