Two-step fourth orderP-stable methods for second order differential equations |
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| Authors: | M M Chawla |
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| Institution: | (1) Department of Mathematical Sciences, New Mexico State University, 88003 Las Cruces, New Mexico, U.S.A. |
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| Abstract: | A family of symmetric (hybrid) two-step fourth order methods is derived fory '=f(x,y). We then show the existence of a sub-family of these methods which when applied toy'=–
2
y, real, areP-stable. We also note that a general (order) symmetric two-step method isP-stable iff it is unconditionally stable. |
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