Differential transform method with complex transforms to some nonlinear fractional problems in mathematical physics

DOI10.1155/2015/364853zbMath1394.35560OpenAlexW2188460738WikidataQ59118172 ScholiaQ59118172MaRDI QIDQ1665472

Jamshad Ahmad, Saleh M. Hassan, Syed Tauseef Mohyud-Din, Farah Jabeen Awan

Publication date: 27 August 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/364853

Mathematics Subject Classification ID

Fractional partial differential equations (35R11)

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Superconvergence of a finite element method for the time-fractional diffusion equation with a time-space dependent diffusivity

Cites Work

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• A comparison between the reduced differential transform method and the Adomian decomposition method for the Newell-Whitehead-Segel equation
• Numerical simulation of generalized Hirota-Satsuma coupled KdV equation by RDTM and comparison with DTM
• Fractional complex transform for fractional differential equations
• Exact and numerical solutions of generalized Drinfeld-Sokolov equations
• Approximate analytical solutions of fractional benney-lin equation by reduced differential transform method and the homotopy perturbation method
• Assessment of two analytical approaches in some nonlinear problems arising in engineering sciences
• Solitary wave solutions for a time-fraction generalized hirota-satsuma coupled KdV equation by an analytical technique
• Application of He's variational iteration method and Adomian's decomposition method to the fractional KdV-Burgers-Kuramoto equation
• A sine-cosine method for handling nonlinear wave equations
• Variational iteration method for re-formulated partial differential equations
• Numerical solution of nonlinear Kaup-Kupershmit equation, KdV-KdV and Hirota-Satsuma systems
• The improved F-expansion method and its applications
• Traveling wave solutions of the sine-Gordon and the coupled sine-Gordon equations using the homotopy-perturbation method
• Numerical study of Burgers-Huxley equations via reduced differential transform method
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• A numerical solution of the coupled sine-Gordon equation using the modified decomposition method
• Solution of fractional differential equations by using differential transform method
• The variational iteration method for nonlinear oscillators with discontinuities
• Numerical solution of non-linear Klein–Gordon equations by variational iteration method
• The differential transform approximation for the system of ordinary differential equations
• A new approach to nonlinear partial differential equations