A Comparison of Numerical ODE Solvers based on Euler Methods
Mustafa İnç, Necdet Bıldık, Hasan Bulut
Abstract
Mustafa İnç, Necdet Bıldık, Hasan Bulut
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.
Key concepts: Euler method, Backward Euler method, Ode, Numerical methods for ordinary differential equations, Explicit and implicit methods, Exponential integrator, Mathematics, Runge–Kutta methods