Approximate analytical solution for the fractional modified Kdv by differential transform method
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Publication:720046
DOI10.1016/j.cnsns.2009.07.014zbMath1222.35172OpenAlexW2090839061MaRDI QIDQ720046
Mustafa Bayram, Muhammet Kurulay
Publication date: 13 October 2011
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.07.014
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Uses Software
Cites Work
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- Solitary wave solutions for the KdV and mKdV equations by differential transform method
- Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation
- Analysis of nonlinear fractional partial differential equations with the homotopy analysis method
- A note on the use of Adomian decomposition method for high-order and system of nonlinear differential equations
- Solving a system of nonlinear fractional partial differential equations using homotopy analysis method
- Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation
- Adomian decomposition method for nonlinear differential-difference equations
- Numerical solutions for fractional KdV-Burgers equation by Adomian decomposition method
- Generalized Taylor's formula
- A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula
- Approximate solutions for boundary value problems of time-fractional wave equation
- Series solutions of systems of nonlinear fractional differential equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Numerical methods for the solution of partial differential equations of fractional order.
- Exact solitary-wave solutions with compact support for the modified KdV equation
- Application of variational iteration method to nonlinear differential equations of fractional order
- Computational algorithms for FE formulations involving fractional operators
- Solution of different type of the partial differential equation by differential transform method and Adomian's decomposition method
- Approximate analytical solution to fractional modified KdV equations
- Homotopy perturbation method for fractional KdV-Burgers equation
- Numerical methods for nonlinear partial differential equations of fractional order
- Solution of fractional differential equations by using differential transform method
- Comparison differential transformation technique with adomian decomposition method for linear and nonlinear initial value problems
- An explicit and numerical solutions of the fractional KdV equation
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