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期刊=Journal of Applied Mathematics and Physics

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A Comparison of Different Numerical Schemes to Solve Nonlinear First Order ODE: 《Journal of Applied Mathematics and Physics》2022年第3期865-876,共12页Mahjoub A. Elamin Sami H. Altoum; In this paper, the nonlinear first order ordinary differential equation will be considered. Three simplest numerical stencils are presented to solve this equation. We deduce that the numerical method of Trapezoidal is...; 关键词：Ordinary Differential Equation Euler Method Numerical Approximation

Runge-Kutta Method and Bolck by Block Method to Solve Nonlinear Fredholm-Volterra Integral Equation with Continuous Kernel: 《Journal of Applied Mathematics and Physics》2020年第9期2043-2054,共12页A. M. Al-Bugami J. G. Al-Juaid; In this paper, the existence and uniqueness of the solution of Fredholm-Volterra integral equation is considered (NF-VIE) with continuous kernel;then we used a numerical method to reduce this type of equations to a sy...; 关键词：Nonlinear Fredholm-Volterra Integral Equation System of Nonlinear Volterra Integral Equations Runge-Kutta Method Bolck by Block Method

A Hybrid Backward Euler Control Volume Method to Solve the Concentration-Dependent Solid-State Diffusion Problem in Battery Modeling: 《Journal of Applied Mathematics and Physics》2020年第6期1066-1080,共15页Kudakwashe Chayambuka Grietus Mulder Dmitri L. Danilov Peter H. L. Notten; Several efficient analytical methods have been developed to solve the solid-state diffusion problem, for constant diffusion coefficient problems. However, these methods cannot be applied for concentration-dependent di...; 关键词：Solid-State Diffusion Implicit Methods Backward Euler

Extrapolation of Explicit DIMSIMs of High Order to Solve the Ordinary Differential Equations: 《Journal of Applied Mathematics and Physics》2019年第12期3022-3030,共9页Ali J. Kadhim Annie Gorgey; The purpose of this research is to investigate the effciency of explicit diagonally implicit multi-stage integration methods with extrapolation. The author gave detailed explanation of explicit diagonally implicit mul...; 关键词：EXTRAPOLATION Technique General Linear METHODS Diagonally Implicit Muti-Stage Integration EXPLICIT METHODS

An Iteration Method to Solve the Boundary Layer Flow past a Flat Plate: 《Journal of Applied Mathematics and Physics》2014年第4期35-40,共6页Ken-ichi Kusukawa Shigeaki Suwa Takeo R. M. Nakagawa; An iteration method similar to the thin-wing-expansion method for the compressible flow has been proposed to solve the boundary layer flow past a flat plate. Using such an iteration, the first step of which is Oseen’...; 关键词：Boundary Layer Flow Mathematical Analysis ITERATION Method APPROXIMATE Solution NAVIER-STOKES Equation

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