The numerical treatment of nonlinear parabolic partial differential equations governing convection-diffusion processes

DOI10.1080/00207168808803665zbMath0677.65094OpenAlexW2086371183MaRDI QIDQ3833550

M. A.-K. Ibrahim, S. E. El-Gendi, Ali B. Shamardan

Publication date: 1988

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207168808803665

zbMATH Keywords

stabilitynumerical experimentsmatrix methodconvection-diffusion processesexponential fitting schemethree-level time schemes

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

Related Items (6)

The optimal choice of the θ-parameter in the three-level time schemes ⋮ Fourth-order schemes of exponential type for singularly perturbed parabolic partial differential equations ⋮ A RBF partition of unity collocation method based on finite difference for initial-boundary value problems ⋮ Numerical solutions for convection-diffusion equation using El-Gendi method ⋮ Highly accurate method for the convection-diffusion equation ⋮ A Comparative Study of a Haar Wavelet Method and a Restrictive Taylor's Series Method for Solving Convection-diffusion Equations

Cites Work

• A new explicit method for the diffusion-convection equation
• Variable mesh cubic spline technique for N-wave solution of Burgers' equation
• Differencing scheme for a differential equation with a small parameter affecting the highest derivative
• Stability Analysis of Finite Difference Schemes for the Advection-Diffusion Equation
• Stability Restrictions on Second Order, Three Level Finite Difference Schemes for Parabolic Equations
• A Variable Mesh Finite Difference Method for Solving a Class of Parabolic Differential Equations in One Space Variable
• On the Location of Zeros of Certain Classes of Polynomials with Applications to Numerical Analysis
• Locally flat imbeddings of topological manifolds
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