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Residual Power Series Method for Wave Type Equations
2021 International Conference on Applied and Engineering Mathematics (ICAEM), 2021In 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
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Modified Residual Power Series Method for Boundary Value Problems
2021 International Conference on Applied and Engineering Mathematics (ICAEM), 2021In 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
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Residual Power Series Method for Fractional Diffusion Equations
Fundamenta Informaticae, 2017In 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.
Kumar, Amit +2 more
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Analytical Solution of Fractional Burgers-Huxley Equations via Residual Power Series Method
Lobachevskii Journal of Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Freihet, A. A., Zuriqat, M.
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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), 2018In 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 InequalitiesThis 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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Residual power series method for the time fractional Fornberg-Whitham equation
International Journal of Dynamical Systems and Differential Equations, 2020Jianke Zhang, Luyang Yin
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