Solving special second order ordinary differential equations by four-stage explicit hybrid methods

This paper investigates the derivation of a four-stage fourth-order two step explicit hybrid method and its exponentially fitted variant for solving special second order ordinary differential equations. The free parameters are selected such that the fourth-order method has phase lag of order six and...

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Bibliographic Details
Main Authors: Samat, Faieza, Ismail, Eddie Shahril
Format: Conference Proceeding
Language:English
Subjects:
Differential equations
Ordinary differential equations
Phase lag
Online Access:Get full text
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Summary:This paper investigates the derivation of a four-stage fourth-order two step explicit hybrid method and its exponentially fitted variant for solving special second order ordinary differential equations. The free parameters are selected such that the fourth-order method has phase lag of order six and zero dissipation error. Numerical experiments that have been carried out show that the four-stage fourth-order explicit hybrid method gives the best accuracy for linear second order problems while the exponentially fitted variant improves the accuracy of the fourth-order method only for problems involving exponentials.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5121072