Residual power series method for solving time-space-fractional Benney-Lin equation arising in falling film problems
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-016-1056-1
Abstract: In this paper, a recent analytic iterative technique, named as residual power series method is implemented to find the approximate solution of the nonlinear time-space-fractional Benney-Lin equation. The convergence analysis of the proposed scheme is… read more here.
Keywords: residual power; time space; series method; power series ... See more keywords
Spectral shifted Chebyshev collocation technique with residual power series algorithm for time fractional problems
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DOI: 10.1038/s41598-024-58493-x
Abstract: In this paper, two problems involving nonlinear time fractional hyperbolic partial differential equations (PDEs) and time fractional pseudo hyperbolic PDEs with nonlocal conditions are presented. Collocation technique for shifted Chebyshev of the second kind with… read more here.
Keywords: time; power series; shifted chebyshev; time fractional ... See more keywords
Modeling and analysis of dengue transmission in fuzzy-fractional framework: a hybrid residual power series approach
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DOI: 10.1038/s41598-024-79475-z
Abstract: The current manuscript presents a mathematical model of dengue fever transmission with an asymptomatic compartment to capture infection dynamics in the presence of uncertainty. The model is fuzzified using triangular fuzzy numbers (TFNs) approach. The… read more here.
Keywords: residual power; dengue; power series; model ... See more keywords
Distribution of the Residual Self-Interference Power in In-Band Full-Duplex Wireless Systems
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DOI: 10.1109/access.2019.2914002
Abstract: This paper derives the distribution of the residual self-interference (SI) power in an analog post-mixer canceler adopted in a wireless in-band full-duplex communication system. We focus on the amount of uncanceled SI power due to… read more here.
Keywords: self interference; residual power; distribution residual; residual self ... See more keywords
Fractional Series Solution Construction for Nonlinear Fractional Reaction-Diffusion Brusselator Model Utilizing Laplace Residual Power Series
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DOI: 10.3390/sym14091944
Abstract: This article investigates different nonlinear systems of fractional partial differential equations analytically using an attractive modified method known as the Laplace residual power series technique. Based on a combination of the Laplace transformation and the… read more here.
Keywords: series; laplace residual; power series; residual power ... See more keywords
Laplace Residual Power Series Method for Solving Three-Dimensional Fractional Helmholtz Equations
Sign Up to like & getrecommendations! Published in 2023 at "Symmetry"
DOI: 10.3390/sym15010194
Abstract: In the present study, the exact solutions of the fractional three-dimensional (3D) Helmholtz equation (FHE) are obtained using the Laplace residual power series method (LRPSM). The fractional derivative is calculated using the Caputo operator. First,… read more here.
Keywords: power series; series; residual power; three dimensional ... See more keywords