COMPARISON OF FINITE DIFFERENCE SCHEME AND ADOMIAN DECOMPOSITION METHOD FOR SOLVING REACTION DIFFUSION EQUATION WITH BLOW UP

DOI10.17654/AM097040143zbMath1448.65116MaRDI QIDQ4639841

Hervé W. Ouedraogo, Geneviève Barro, Benjamin Mampassi, Ousséni So

Publication date: 11 May 2018

Published in: Far East Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

simulationblow-upfinite differencereaction diffusion equationfull discretizationnonlinear parabolic problemsAdomian

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Blow-up in context of PDEs (35B44) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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A RKHS METHOD FOR DETERMINATION OF POTENTIAL ENERGY CURVE FROM AB INITIO DATA

Cites Work

• Unnamed Item
• Nonlinear elliptic and parabolic equations involving measure data
• Numerical solution of fast diffusion or slow diffusion equations
• Solving frontier problems of physics: the decomposition method
• Convergence of Adomian's method applied to differential equations
• Numerical solution of a nonlinear reaction diffusion equation
• The decomposition method applied to the Cauchy problem
• Semidiscretization in Time of Nonlinear Parabolic Equations with Blowup of the Solution
• The partial differential equation u_t + uu_x = μ_xx

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