A NONSTANDARD VARIABLE STEP LENGTH METHOD FOR THE SOLUTION OF FIRST ORDER INITIAL VALUE PROBLEMS IN ODES

摘要

In this article, we have presented the development and implementation of a nonstan-dard variable step length numerical method for solving first order initial value problems in ordinary differential equations. The method is convergent and stable. The method applied to find the numerical solution of several model problems. The theoretical conclusions of the proposed method are confirmed by the numerical results obtained for these model problems with known solution. The computation results obtained for these model problems suggest that method is accurate and efficient but theoretical order of the convergence is reduced in computation.