Results 101 to 110 of about 1,124 (201)
A nonstandard compact finite difference method for a truncated Bratu–Picard model
AIMS Mathematics<p>In this paper, we used the nonstandard compact finite difference method to numerically solve one-dimensional truncated Bratu-Picard equations and discussed the convergence analysis of the proposed method. Depending on the parameters in the mentioned equation, it may have no solution, one solution, or two solutions; also, it may have infinitely
Maryam Arabameri +3 more
openaire +2 more sources
, 2015 Solving stiff problem always required very tiny size of meshes if it is solved via traditional numerical algorithm. Using insufficient of mesh size, will triggered instabilities.
Nur Asiha Binti Sazali
core
, 2018 In this paper we construct two families of nonstandard finite difference (NSFD) schemes preserving the essential properties of a computer virus propagation model, such as positivity, boundedness and stability.
Hoang, Tuan Manh +2 more
core +1 more source
A Generic Modelling of Fire Impact in a Tree-Grass Savanna Model
Biomath, 2014 We propose and study a model for tree-grass interactions in the context of savannas which are subjected to fire pressure. Several theoretical models in the literature which have highlighted the impact of fire on tree-grass interactions did not explicitly
Alexis Tamen Tchuinte +4 more
doaj +1 more source
, 2022 Nonstandard finite difference (NSFD) methods have been widely used to numerically solve various problems in biology. In recent years, NSFD methods have been proposed that preserve essential properties of the solutions of general autonomous differential ...
Alalhareth, Fawaz Karhan R
core
Applications of Nonstandard Finite Difference Methods to Nonlinear Heat Transfer Problems [PDF]
, 2011 This chapter presents some applications of nonstandard finite difference methods to general nonlinear heat transfer problems. Nonlinearity in heat transfer problems arises when i. Some properties in the problem are temperature dependent ii. Boundary conditions are described by nonlinear functions iii.
openaire +1 more source
A general method for obtaining unconventional and nonstandard difference schemes
, 1995 In recent years it has been shown that some unconventional or nonstandard finite difference schemes have very good properties. Some are exact schemes, others give dynamically correct approximations for wide parameter ranges and arbitrary initial values ...
Duechs, D. +2 more
core
An Efficient Nonstandard Finite Difference Scheme for a Class of Fractional Chaotic Systems
, 2017 In this paper, we formulate a new nonstandard finite difference (NSFD) scheme to study the dynamic treatments of a class of fractional chaotic systems. To design the new proposed scheme, an appropriate nonlocal framework is applied for the discretization
Mojtaba Hajipour +2 more
core +1 more source
Partial Differential Equations in Applied MathematicsThe complex and ever-changing characteristics of epidemic modelling, particularly when considering random elements, provide a substantial obstacle in creating precise and practical numerical methods for solving differential equations.
Muhammad Shoaib Arif +2 more
doaj +1 more source
Solution of differential equations using nonstandard finite difference methods
, 2020 Diferansiyel denklemler gercek hayat problemlerinin modellenmesinde sıklıklakullanılmaktadır. Bununla birlikte genel olarak bu denklemler tam cozume sahip degildirler.Bu problemlerin cozumlerini elde etmek icin arastırmacılar ceşitli sayısal yöntemlerkullanmıslardır.
openaire +1 more source