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Semi-Implicit Scheme to Solve Allen-Cahn Equation with Different Boundary Conditions
《American Journal of Computational Mathematics》2023年第1期122-135,共14页Banan Alqanawi Musa Adam Aigo 
The aim of this paper is to give an appropriate numerical method to solve Allen-Cahn equation, with Dirichlet or Neumann boundary condition. The time discretization involves an explicit scheme for the nonlinear part o...
关键词：Semi-Implicit Schemes Allen-Cahn Equations Finite Difference Sparse System Jacobi Fixed Point GAUSS-SEIDEL 
Extrapolation of GLMs with IRKS Property to Solve the Ordinary Differential Equations
《American Journal of Computational Mathematics》2019年第4期251-260,共10页Ali J. Kadhim Annie Gorgey 
The extrapolation technique has been proved to be very powerful in improving the performance of the approximate methods by large time whether engineering or scientific problems that are handled on computers. In this p...
关键词：EXTRAPOLATION Technique General Linear METHODS Inherent RUNGE-KUTTA Stability EXPLICIT METHODS 
An Application of the Hungarian Algorithm to Solve Traveling Salesman Problem
《American Journal of Computational Mathematics》2019年第2期61-67,共7页Janusz Czopik 
In this paper we applicate the Hungarian algorithm for assignment problem to solve traveling salesman problem. Tree examples of application of algorithm are included.
关键词：TRAVELING SALESMAN ASSIGNMENT Problem POLYNOMIAL Time HUNGARIAN Algorithm 
An Adaptive Time-Step Backward Differentiation Algorithm to Solve Stiff Ordinary Differential Equations: Application to Solve Activated Sludge Models被引量：2
《American Journal of Computational Mathematics》2016年第4期298-312,共15页Jamal Alikhani Bahareh Shoghli Ujjal Kumar Bhowmik Arash Massoudieh 
A backward differentiation formula (BDF) has been shown to be an effective way to solve a system of ordinary differential equations (ODEs) that have some degree of stiffness. However, sometimes, due to high-frequency ...
关键词：Adaptive Time-Step Backward Differentiation Formula Activated Sludge Model Ordinary Differential Equation Stiffness Computation Time 
Auto-Backlund Transformation and Extended Tanh-Function Methods to Solve the Time-Dependent Coefficients Calogero-Degasperis Equation
《American Journal of Computational Mathematics》2015年第2期215-223,共9页Rehab M. El-Shiekh 
In this paper, the Auto-B?cklund transformation connected with the homogeneous balance method (HB) and the extended tanh-function method are used to construct new exact solutions for the time-dependent coefficients Ca...
关键词：Auto-Backlund Transformation Homogeneous Balance Method The Extended Tanh-Function Method The Time-Dependent Coefficients Calogero-Degasperis Equation Exact Solutions 
Combining Symbolic tools with interval analysis. An application to solve robust control problems.
《American Journal of Computational Mathematics》2014年第3期183-196,共14页Inès Ferrer-Mallorquí Josep Vehí 
Complex systems are often subjected to uncertainties that make its model difficult, if not impossible to obtain. A quantitative model may be inadequate to represent the behavior of systems which require an explicit re...
关键词：SYMBOLIC COMPUTATION INTERVAL analysis Robust control 
An Efficient Direct Method to Solve the Three Dimensional Poisson’s Equation被引量：2
《American Journal of Computational Mathematics》2011年第4期285-293,共9页Alemayehu Shiferaw Ramesh Chand Mittal 
In this work, the three dimensional Poisson’s equation in Cartesian coordinates with the Dirichlet’s boundary conditions in a cube is solved directly, by extending the method of Hockney. The Poisson equation is appr...
关键词：Poisson’s EQUATION Finite DIFFERENCE METHOD Tri-diagonal Matrix Hockney’s METHOD Thomas Algorithm 
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