Abstract
A class of nonlinear methods based on Euler's integration formula for the numerical solution of ordinary differential equations is presented. Numerical example involving stiff linear systems of first-order differential equations are given for test problem.
Highlights
(1.1) by the geometric mean (GM) averaging
A class of nonlinear methods based on Euler's integration formula for the numerical solution of ordinary differential equations is presented_Numerical example involving stiff linear systems of first-order differential equations are given for test problem
The well-known trapezoidal formula for the numerical solution of the initial value problem y' = f(x,y), y(XO)=YO is given by where h is the mesh length in the x direction
Summary
(1.1) by the geometric mean (GM) averaging. In this paper we will study the equivalent formulae in the geometric mean sense. A COMPARISON OF NUMERICAL ODE SOLVERS BASED ON EULER METHODS Abstract-A class of nonlinear methods based on Euler's integration formula for the numerical solution of ordinary differential equations is presented_Numerical example involving stiff linear systems of first-order differential equations are given for test problem.
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