[PDF] Top 20 Stability Analysis of a Numerical Integrator for Solving First Order Ordinary Differential Equation

... various Numerical Integrators using various tech- niques including interpolating functions that include the work of [1] [2] [3] [4] among ...for ordinary differential ...for solving Initial ... See full document

... The derived simulation models have been tested with the control parameters ∝ and Q . We also applied the Nonstandard method by modifying denominator func- tion φ , which also provides for parameters λ and r that can be ... See full document

... fuzzy differential equation (F DE) has been rapidly growing in recent ...the analysis of fuzzy dynamical prob- ...The numerical methods for solving F DE are introduced in [1, 2, 4, ... See full document

... wavelet analysis is a recently developed mathematical tool for many ...numerical analysis. In this paper, we apply Haar wavelet methods to solve ordinary differential equations with ... See full document

... the numerical block methods to solve first order ...backward differential formula method based on the interpolation and collocation of the basic ...and order for system of non-stiff ... See full document

... of order three using variable step size ap- proach for solving the second order stiff ODEs ...zero stability of this method is ensured and discussed in (Yatim, ...The numerical ... See full document

... on numerical methods for solving ordinary differential ...for solving the ordinary differential equation using Euler and Runge Kutta 4 th order ...given ... See full document

... third order initial value problem of ordinary differential ...Stable, order, error constant and region of absolute stability were ...the analysis the block derived was found to ... See full document

... work, first order shear deformation plate theory (FSDT) and nonlinear Von-Karman strains, the governing equations are obtained based on ...The differential quadrature method (DQM) as a ... See full document

... [3] OK Famurewa, RA Ademiluyi, and DO Awoyemi. A comparative study of a class of implicit multi-derivative meth- ods for numerical solution of non-stiff and stiff first order ordinary ... See full document

... the analysis of the block method in terms of the order, zero stability and the region of absolute ...on first order ordinary dif- ferential equations and compared our result with ... See full document

... the numerical computation of system of ordinary differential equations of first order with initial value problems and all steps of parallel algorithms of ...RK2 order methods to ... See full document

... Ordinary differential equations (ODEs) are commonly used for mathematical modelling in many diverse fields such as engineering, operations research, industrial mathematics, behavioural sciences, artificial ... See full document

... Ulam stability of a system, then one does not have to reach the exact solution (which usually is quite difficult or time consuming), all what is required is to get a function, that is, a close exact ...Hyers-Ulam ... See full document

... for solving first and second orders ordinary differential ...of numerical techniques for the approximate solution of linear initial value problems (IVP) in first and second ... See full document

... In quest for the method that gives better stability condition, scholars proposed an approximate solution which combined power series polynomial and exponential function [7]. It was discov- ered that this method ... See full document

... An ordinary differential equation is formed in an attempt to eliminate certain arbitrary constant from a relation in the variables and ...a differential equation. There are many ... See full document

... In this paper, we have proposed a new iterative method for finding the solution of ordinary differential equations of the first order. In this method we have extended the idea of variational ... See full document

... presenting numerical solutions of first order differential equations arising in various applications of science and engineering using some classical numerical ...contain ... See full document

... provide numerical comparisons with other competitive codes in the scientific ...for numerical comparisons are denoted by: EHM5I : The first fifth-order explicit hybrid method with four stages ... See full document