A new efficient method for solving two-dimensional nonlinear system of Burger's differential equations

DOI10.1155/2020/7413859zbMath1474.65406OpenAlexW3006436358MaRDI QIDQ2198055

Mohamed Z. Mohamed, Shams A. Ahmed, Mohamed Elbadri

Publication date: 8 September 2020

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/7413859

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)

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Cites Work

• On numerical solution of Burgers' equation by homotopy analysis method
• Application of Laplace decomposition method on semi-infinite domain
• The new numerical method for solving the system of two-dimensional Burgers equations
• A reliable treatment of Abel's second kind singular integral equations
• Soliton solutions of the two-dimensional KdV-Burgers equation by homotopy perturbation method
• Numerical study of the solution of the Burgers and coupled Burgers equations by a differential transformation method
• A collocation solution for Burgers' equation using cubic B-spline finite elements
• Homotopy perturbation Padé transform method for Blasius flow equation using He's polynomials
• A new comparative study between homotopy analysis transform method and homotopy perturbation transform method on a semi infinite domain
• A new analytical solution procedure for nonlinear integral equations
• A new analytical approach to solve magnetohydrodynamics flow over a nonlinear porous stretching sheet by Laplace Padé decomposition method
• Dynamics and synchronization of numerical solutions of the Burgers equation
• The solution of coupled Burgers' equations using Adomian-Padé technique
• Exact and numerical solutions for non-linear Burger's equation by VIM
• A comparison between Cole-Hopf transformation and the decomposition method for solving Burgers' equations
• ADM-Padé solutions for generalized Burgers and Burgers-Huxley systems with two coupled equations
• A novel fractional Laplace decomposition method for chaotic systems and the generation of chaotic sequences
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics
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