1. an essential and practical criterion for a good method to be functional is that it must have a region of stability 2. this region can be obtained by testing the roots of the stability polynomial for which w<1. 3. in order to determine the region of stability, we substitute w=1 into the stability polynomial. 4. for first order problem, the stability of the method of the corrector formulae will be determined through applying equation (2.1) to the test equation w=p. 5. in this section, we will investigate the stability region of the huen's method derived before on the first and second order problem.
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In the context of ODEs, an essential and practical criterion for a good method to be functional/useful is that it must have a region of absolute stability. This region can be obtained by testing the roots of the stability polynomial for which w<1. In this section, we will investigate the stability region of the huen's method derived before on a first and second order IVPs. For first order IVP
In the context of ODEs, an essential, practical criterion for a good functional method is that it must have a region of absolute stability. This region can be ascertained by testing the roots of the stability polynomial for which w<1. In this section, we will investigate the stability region of the Huen's method derived before on first and second order IVPs.