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Singly-implicit Stabilized Extended One-step Methods for Second-order Initial-value Problems with Oscillating Solutions by M.M. Chawla; M.A. Al-Zanaidi; S.S. Al-Ghonaim is a Mathematics article available to read on EtoBox.

What is Singly-implicit Stabilized Extended One-step Methods for Second-order Initial-value Problems with Oscillating Solutions about?

introduce a new class of singly-implicit extended one-step methods for the numerical integration of second-order initial-value problems y" = f(t,~), v(to) = 770, v'(to) = 171, with oscillating solutions. We first show that for third order, with two stages there exists a uniquely determined 'almost' P-stable method. We then investigate stability of the general class of fourthorder one-step methods. We first look for stabilized fourth-order methods with two stages, and show the interesting result that there exist families of two-stage fourth-oiler P-stable methods. We also obtain some families of three-stage fourth-order P-stable methods. The obtained methods are computationally tested on problems of practical interest.

Who reads Singly-implicit Stabilized Extended One-step Methods for Second-order Initial-value Problems with Oscillating Solutions?

Author

M.M. Chawla; M.A. Al-Zanaidi; S.S. Al-Ghonaim

Publisher

Elsevier Science; Elsevier ; Pergamon Press Ltd.; Elsevier BV (ISSN 0895-7177)

Published

1999

Language

EN

Field

Mathematics (Physical Sciences)