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A Modified Residual Power Series Method for the Approximate Solution of Two-Dimensional Fractional Helmholtz Equations

Symmetry, 2023
In this paper, we suggest a modification for the residual power series method that is used to solve fractional-order Helmholtz equations, which is called the Shehu-transform residual power series method (ST-RPSM).
Jinxing Liu, Muhammad Nadeem, Asad Islam   +2 more
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Residual Power Series Method for Wave Type Equations

2021 International Conference on Applied and Engineering Mathematics (ICAEM), 2021
In this article residual power series method (RPSM) is proposed for wave type partial differential equations (PDEs). This method is based on power series along with residual concept. RPSM is applied to test problem of wave type equation and results are analyzed through tables and figures at different time levels.
Mubashir Qayyum, Amna Khan
openaire   +1 more source

Modified Residual Power Series Method for Boundary Value Problems

2021 International Conference on Applied and Engineering Mathematics (ICAEM), 2021
In this manuscript, a new modification of residual power series method (RPSM) has been introduced for the solution of ordinary differential equations (ODEs) with boundary conditions. Proposed scheme has been applied to linear and nonlinear test problems of order two and four.
Mubashir Qayyum, Qursam Fatima
openaire   +1 more source

Residual power series algorithm for fractional cancer tumor models

AEJ - Alexandria Engineering Journal, 2020
Inc, Mustafa/0000-0003-4996-8373In this paper, the new series solutions of some fractional cancer tumor models are investigated by using residual power series method (RPSM). The RPSM is explained with Maclaurin expansion for the solution.
Zeliha Körpinar, Mustafa İnç, Dumitru Baleanu   +2 more
exaly   +2 more sources

Residual Power Series Method for Fractional Diffusion Equations

Fundamenta Informaticae, 2017
In this article, improved residual power series method (RPSM) is effectively implemented to find the approximate analytical solution of a time fractional diffusion equations. The proposed method is an analytic technique based on the generalized Taylor’s series formula which construct an analytical solution in the form of a convergent series.
Amit Kumar, Sunil Kumar, Sheng-Ping Yan
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Fractional residual power series method for the analytical and approximate studies of fractional physical phenomena

Open Physics, 2020
In this article, analytical exact and approximate solutions for fractional physical equations are obtained successfully via efficient analytical method called fractional residual power series method (FRPSM).
Gamal M Ismail, Hijaz Ahmad, Yu-Ming Chu   +2 more
exaly   +2 more sources

Approximate Solutions of Time Fractional Kawahara Equation by Utilizing the Residual Power Series Method

International Journal of Applied and Computational Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Residual Power Series Method for Solving the Fractional Fuzzy Delay Differential Equation

2019
In this paper, the fuzzy delay differential equation is expressed in fractional form, and the Residual Power Series Method (RPSM) is used to solve the equation. The delay differential equation indicates that in a system, the speed of the system is not only related to the current state of the system, but also depends on the historical trajectory until ...
Qiujuan Tong, Yongzhen Zang, Jianke Zhang   +2 more
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A Numerical Approach of Fornberg-Whitham Equation Using Residual Power Series Method

2018 International Conference on Advanced Science and Engineering (ICOASE), 2018
In this paper, a modern and approach method called residual power series technique has been applied to find numerical solution for an important equation in optical communication systems and optical fibers called Fornberg-Whitham equation. In addition to that, the technique has been used in regard of the effectiveness of time.
Bewar A. Mahmood, Majeed A. Yousif
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Residual Power Series Method for Solving Linear Complex Differential Equations

Advances in Nonlinear Variational Inequalities
This work uses the residual power series method (RPSM), primarily based on the general Taylor series formula with a residual error function, to offer solutions to instances of linear complex differential equations (LCDEs) as test problems. After finding approximate solutions to those problems, the current approach's findings have been compared with the
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