SOLVING IVPs IN ODEs BY USING SOME L-STABLE METHODS IN VARIABLE STEP-SIZE FORMULATION

GURJINDER SINGH, V. KANWAR, SAURABH BHATIA

Abstract


In this paper, we propose a one-parameter family of the L-stable modified trapezoidal method for solving numerically initial value ordinary differential equations (ODEs). The
proposed family has second algebraic order of convergence and is L-stable. Further, variable step-size formulation of the proposed methods is considered as embedded-type methods. A comparison of numerical results made by the proposed methods and by the existing classical ODE solver is given.


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