In this paper E-stable methods of O(h4), O(h8) and O(h12) are derived for the direct numerical integration of initial value problems of second order differential equations with exponentially decreasing solutions. Numerical results are presented for both linear and nonlinear problems. © 1985 BIT Foundations.

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dc.contributor.authorAnanthakrishnaiah, U.
dc.date.accessioned2026-02-05T11:00:44Z
dc.date.issuedE-stable methods for exponentially decreasing solutions of second order initial value problems
dc.description.abstract1985
dc.identifier.citationBIT Numerical Mathematics, 1985, 25, 3, pp. 497-506
dc.identifier.issn63835
dc.identifier.urihttps://doi.org/10.1007/BF01935370
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/28126
dc.publisherKluwer Academic Publishers
dc.subjectDIRECT NUMERICAL INTEGRATION
dc.subjectE-STABLE METHODS
dc.subjectINITIAL VALUE PROBLEMS
dc.subjectMATHEMATICAL TECHNIQUES
dc.titleIn this paper E-stable methods of O(h4), O(h8) and O(h12) are derived for the direct numerical integration of initial value problems of second order differential equations with exponentially decreasing solutions. Numerical results are presented for both linear and nonlinear problems. © 1985 BIT Foundations.

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