Analytical solution for the time fractional BBM-Burger equation by using modified residual power series method
From MaRDI portal
Publication:1632891
DOI10.1155/2018/2891373zbMath1405.35190OpenAlexW2894944938WikidataQ129134916 ScholiaQ129134916MaRDI QIDQ1632891
Yuelei Xiao, Zhirou Wei, Jianke Zhang, Long-Quan Yong
Publication date: 17 December 2018
Published in: Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2018/2891373
KdV equations (Korteweg-de Vries equations) (35Q53) Series solutions to PDEs (35C10) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11)
Related Items (6)
Framework for treating non-linear multi-term fractional differential equations with reasonable spectrum of two-point boundary conditions ⋮ Modified homotopy methods for generalized fractional perturbed Zakharov-Kuznetsov equation in dusty plasma ⋮ New solitons and multishock wave structures for the conformable space fractional Burger and time fractional Sharma-Tasso-Olver models ⋮ Spectrally accurate approximate solutions and convergence analysis of fractional Burgers' equation ⋮ Least-squares residual power series method for the time-fractional differential equations ⋮ Numerical simulation of time fractional BBM-Burger equation using cubic B-spline functions
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New results on fractional power series: theories and applications
- Approximate analytical solutions of time fractional Whitham-Broer-Kaup equations by a residual power series method
- Approximate analytical solution of the nonlinear fractional KdV-Burgers equation: a new iterative algorithm
- Exact solutions of the time fractional BBM-Burgers equation by novel \((G^{\prime}/G)\)-expansion method
- An analytic algorithm for the space-time fractional advection-dispersion equation
- The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
- Approximate explicit solutions of nonlinear BBMB equations by homotopy analysis method and comparison with the exact solution
- Basic theory of fractional differential equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On the homotopy analysis method for nonlinear problems.
- A novel scheme for solving Caputo time-fractional nonlinear equations: theory and application
- Analytical solution of the time-fractional Phi-4 equation by using modified residual power series method
- Analytical solution of the fractional Fredholm integrodifferential equation using the fractional residual power series method
- Residual power series method for solving time-space-fractional Benney-Lin equation arising in falling film problems
- A novel representation of the exact solution for differential algebraic equations system using residual power-series method
- Application of variational iteration method to nonlinear differential equations of fractional order
- Construction of fractional power series solutions to fractional Boussinesq equations using residual power series method
- Multi-order fractional differential equations and their numerical solution
- Analytic approximate solutions for a class of variable order fractional differential equations using the polynomial least squares method
- Asymptotic solutions of time-space fractional coupled systems by residual power series method
- Solution of fractional differential equations by using differential transform method
- The generalized BBM-Burgers equations: convergence results for conservation law with discontinuous flux function
- Residual Power Series Method for Fractional Diffusion Equations
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- ANALYTICAL SOLUTION OF TIME-FRACTIONAL TWO-COMPONENT EVOLUTIONARY SYSTEM OF ORDER 2 BY RESIDUAL POWER SERIES METHOD
This page was built for publication: Analytical solution for the time fractional BBM-Burger equation by using modified residual power series method
