Analytical and numerical solutions for the nonlinear Burgers and advection-diffusion equations by using a semi-analytical iterative method

DOI10.1016/j.camwa.2018.04.010zbMath1419.65087OpenAlexW2800550366MaRDI QIDQ2001665

Mustafa Mahmood Azeez, Ghassan Hasan Radhi, M. A. AL-Jawary

Publication date: 11 July 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.04.010

zbMATH Keywords

iterative methodnonlinear partial differential equationsexact solutionsBurgers' equationsnonlinear advection-diffusion equation

Mathematics Subject Classification ID

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 (8)

A perturbation-based approach for solving fractional-order Volterra–Fredholm integro differential equations and its convergence analysis ⋮ Comparison of two hybrid schemes sumudu HPM and Elzaki HPM for convection-diffusion equation in two and three dimensions ⋮ A meshless technique based on the moving least squares shape functions for nonlinear fractal-fractional advection-diffusion equation ⋮ Study and analysis of nonlinear (2+1)-dimensional solute transport equation in porous media ⋮ Numeric solution of advection–diffusion equations by a discrete time random walk scheme ⋮ Optimized decomposition method for solving multi-dimensional Burgers' equation ⋮ An efficient semi-analytical technique to solve multi-dimensional Burgers' equation ⋮ Unnamed Item

Uses Software

• Mathematica

Cites Work

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