A numerical solution of Burgers' equation by modified Adomian method
From MaRDI portal
Publication:1774838
DOI10.1016/j.amc.2004.04.061zbMath1060.65649OpenAlexW2038186804MaRDI QIDQ1774838
Mohammad Taghi Darvishi, Saeid Abbasbandy
Publication date: 4 May 2005
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2004.04.061
KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items
High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers' equation, Novel operational matrices-based finite difference/spectral algorithm for a class of time-fractional Burger equation in multidimensions, Numerical methods for nonlinear second-order hyperbolic partial differential equations. II: Rothe's techniques for 1-D problems, Closed form solution to a second order boundary value problem and its application in fluid mechanics, Numerical solutions of two-dimensional Burgers' equations by discrete Adomian decomposition method, On the analytical treatment for the fractional-order coupled partial differential equations via fixed point formulation and generalized fractional derivative operators, Numeric solution of advection–diffusion equations by a discrete time random walk scheme, Numerical solution of Burgers equation by the Sobolev gradient method, A new numerical solution for the MHD peristaltic flow of a bio-fluid with variable viscosity in a circular cylindrical tube via Adomian decomposition method, Application of the homotopy analysis method for solving the variable coefficient KdV-Burgers equation, The new numerical method for solving the system of two-dimensional Burgers equations, Singularly perturbed BVP to estimation of diaphragm deflection in MEMS capacitive microphone: an application of ADM, Analytical solution of second-order hyperbolic telegraph equation by variational iteration and homotopy perturbation methods, A new efficient method for solving two-dimensional Burgers' equation, Variational approach, soliton solutions and singular solitons for new coupled ZK system, Approximate method for studying the waves propagating along the interface between air-water, Series solution of nonlinear differential equations by a novel extension of the Laplace transform method, A numerical solution of Burgers' equation by pseudospectral method and Darvishi's preconditioning, Quadratic B-spline finite element method for numerical solution of the Burgers' equation, On numerical solution of Burgers' equation by homotopy analysis method, Exact solutions of some coupled nonlinear partial differential equations using the homotopy perturbation method, Approximate solutions to the nonlinear vibrations of multiwalled carbon nanotubes using Adomian decomposition method, Numerical study of the solution of the Burgers and coupled Burgers equations by a differential transformation method, Numerical solution of the Burgers' equation by local discontinuous Galerkin method, Derivation of soliton solutions to nonlinear evolution equations using He's variational principle, Harmonic wave generation in nonlinear thermoelasticity by variational iteration method and Adomian's method, An efficient scheme for numerical solution of Burgers' equation using quintic Hermite interpolating polynomials, An exploration of quintic Hermite splines to solve Burgers' equation, Weak formulation based Haar wavelet method for solving differential equations, An exponentially fitted method for solving Burgers' equation, Numerical solution of Burgers' equation with factorized diagonal Padé approximation, A numerical solution of Burgers' equation by finite element method constructed on the method of discretization in time
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the solution of algebraic equations by the decomposition method
- Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
- The group explicit method for the solution of Burger's equation
- Solutions of nonlinear P. D. E
- Numerical solution of one-dimensional Burgers equation: Explicit and exact-explicit finite difference methods
- A finite element approach for solution of Burgers' equation
- A direct variational method applied to Burgers' equation
- Convergence of Adomian's Method
- Space‐time finite elements incorporating characteristics for the burgers' equation
