Numerical study of modified Adomian's method applied to Burgers equation
From MaRDI portal
Publication:2370700
DOI10.1016/j.cam.2006.09.001zbMath1387.65110OpenAlexW2020945032MaRDI QIDQ2370700
Mário Basto, Francisco L. Calheiros, Viriato Semião
Publication date: 29 June 2007
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2006.09.001
KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
Related Items
Anharmonic 1D actuator model including electrostatic and Casimir forces with fractional damping perturbed by an external force ⋮ ADM-Padé solutions for generalized Burgers and Burgers-Huxley systems with two coupled equations ⋮ Unnamed Item ⋮ Approximate solutions for nonlinear initial value problems using the modified variational iteration method ⋮ Dynamics and synchronization of numerical solutions of the Burgers equation ⋮ The travelling wave solutions for non-linear initial-value problems using the homotopy perturbation method ⋮ On using the modified variational iteration method for solving the nonlinear coupled equations in the mathematical physics ⋮ Solving the nonlinear equations for one-dimensional nano-sized model including Rydberg and Varshni potentials and Casimir force using the decomposition method ⋮ Discrete-analytical methods for the implementation of variational principles in environmental applications ⋮ ADM-Padé technique for the nonlinear lattice equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A comparison of finite element and finite difference solutions of the one- and two-dimensional Burgers' equations
- Numerical study of Lorenz's equation by the Adomian method
- An algorithm for Adomian decomposition method
- Adomian decomposition method for Burgers--Huxley and Burgers--Fisher equations
- A new approach to the heat equation - an application of the decomposition method
- Explicit solutions of nonlinear partial differential equations
- New results for convergence of Adomian's method applied to integral equations
- Analytical approximations and Padé approximants for Volterra's population model
- A comparison between Adomian decomposition method and Taylor series method in the series solutions
- A reliable technique for solving the wave equation in an infinite one-dimensional medium
- Solving frontier problems of physics: the decomposition method
- Numerical study of Fisher's equation by Adomian's method
- Decomposition methods: A new proof of convergence
- The theoretical foundation of the Adomian method
- Convergence of Adomian's method applied to differential equations
- Convergence of Adomian's method applied to nonlinear equations
- Necessary conditions for the appearance of noise terms in decomposition solution series
- Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
- Exact solutions for heat-like and wave-like equations with variable coefficients.
- Convergence and accuracy of Adomian's decomposition method for the solution of Lorenz equations
- Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
- An application for a generalized KdV equation by the decomposition method
- An aftertreatment technique for improving the accuracy of Adomian's decomposition method
- Convergence of Adomian's decomposition method: periodic temperatures.
- A convergence analysis of the ADM and an application
- The solution of KdV and mKdV equations using Adomian Padé approximation
- The modified decomposition method and Padé approximants for solving the Thomas-Fermi equation
- On the solution of the coupled Schrödinger-KdV equation by the decomposition method
- Nonlinear equations with mixed derivatives
- Numerical implementation of Adomian decomposition method
- A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations
- A computational algebraic investigation of the decomposition method for time-dependent problems
- Solution of nonlinear equations by modified Adomian decomposition method
- A comparison of Adomian's decomposition method and wavelet-Galerkin method for solving integro-differential equations
- The decomposition method for forward and backward time-dependent problems
- Solving Riccati differential equation using Adomian's decomposition method
- On the numerical solution of the system of two-dimensional Burgers' equations by the decomposition method
- The decomposition method for approximate solution of the Goursat problem
- New ideas for proving convergence of decomposition methods
- Practical formulae for the calculus of multivariable Adomian polynomials
- Random Volterra integral equations
- A new approach to the nonlinear advection problem: An application of the decomposition method
- The solution of Burgers' and good Boussinesq equations using ADM-Padé technique
- A new iterative method to compute nonlinear equations
- A numerical application of the decomposition method for the combined KdV-MKdV equation
- Convergence of Adomian's Method
- Convergence of Adomian's Method and Applications to Non‐linear Partial Differential Equations
- Convergence of Adomian’s method applied to integral equations
- The decomposition method applied to the Cauchy problem
- New numerical study of Adomian method applied to a diffusion model
- A computational approach to the wave equations
- On the solution of a korteweg-de vries like equation by the decomposition method
- The partial differential equation ut + uux = μxx
- On a quasi-linear parabolic equation occurring in aerodynamics
- A new approach to nonlinear partial differential equations
- Stochastic Burgers' equation