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期刊=American Journal of Computational Mathematics

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Higher Order Implicit Scheme for Nonlinear Time-Dependent Convection-Diffusion- Reaction Equation: 《American Journal of Computational Mathematics》2022年第2期232-248,共17页Uzair Ahmed Daoud Suleiman Mashat Dalal Adnan Maturi; A mathematical model comprising of nonlinear reaction, diffusion, and convection mechanisms seen in natural and anthropogenic processes is numerically investigated here. It is proposed that a higher order numerical sc...; 关键词：Finite Difference Method (FDM) Crank-Nicholson (CN) Fourth Order Implicit (FOI) Convection-Diffusion-Reaction (CDR)

Analysis of Gray Scott’s Model Numerically: 《American Journal of Computational Mathematics》2021年第4期273-288,共16页Ahmed Abdulrahim Ahmed Amin Daoud Suleiman Mashat; In this paper, a two-dimensional nonlinear coupled Gray Scott system is simulated with a finite difference scheme and a finite volume technique. Pre and post-processing lead to a new solution called GSmFoam by underst...; 关键词：Fourth Order Compact Scheme Finite Volume Method Fully Implicit Scheme Alternating Direction Implicit (ADI) Scheme
Gray Scott Solver OPENFOAM

A New Fourth Order Difference Approximation for the Solution of Three-dimensional Non-linear Biharmonic Equations Using Coupled Approach: 《American Journal of Computational Mathematics》2011年第4期318-327,共10页Ranjan Kumar Mohanty Mahinder Kumar Jain Biranchi Narayan Mishra; This paper deals with a new higher order compact difference scheme, which is, O(h4) using coupled approach on the 19-point 3D stencil for the solution of three dimensional nonlinear biharmonic equations. At each inter...; 关键词：THREE-DIMENSIONAL NON-LINEAR BIHARMONIC Equation Finite Differences Fourth Order Accuracy Compact Discretization Block-Block-Tridiagonal Tangential Derivatives Laplacian Stream Function REYNOLDS Number

A Fourth Order Improved Numerical Scheme for the Generalized Burgers—Huxley Equation被引量：1: 《American Journal of Computational Mathematics》2011年第3期152-158,共7页A. G. Bratsos; A fourth order finite-difference scheme in a two-time level recurrence relation is proposed for the numerical solution of the generalized Burgers--Huxley equation. The resulting nonlinear system, which is analysed for...; 关键词：Burgers-Huxley FINITE-DIFFERENCE Method Modified PREDICTOR-CORRECTOR

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