1998Mathematical and Computational ApplicationsOpen access

A Comparison of Numerical ODE Solvers based on Euler Methods

Mustafa İnç, Necdet Bıldık, Hasan Bulut

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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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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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Available 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.

Key concepts: Euler method, Backward Euler method, Ode, Numerical methods for ordinary differential equations, Explicit and implicit methods, Exponential integrator, Mathematics, Runge–Kutta methods

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