✦ LIBER ✦

Explicit bounds for the solutions of second order linear differential equations

✍ Scribed by Pedro Almenar; Lucas Jódar

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 742 KB
Volume: 57
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2008.09.022

No coin nor oath required. For personal study only.

✦ Synopsis

This paper deals with the construction of explicit bounds for solutions of second order linear differential equations of the type [p(x)y (

The construction is based on the study of the evolution of two complementary functionals involving y(x) in the sequence of zeroes of y(x) and y (x). Based on that, both a theoretical bound and an algorithm to explicitly calculate that bound are presented. An illustrative example shows that the bounds proposed here improve previous results.

📜 SIMILAR VOLUMES

Error bounds for asymptotic solutions of

Error bounds for asymptotic solutions of second-order linear difference equations

✍ J.M. Zhang; X.C. Li; C.K. Qu 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 784 KB

Bounds for solutions to a class of nonli

Bounds for solutions to a class of nonlinear second-order differential equations

✍ Pui-Kei Wong 📂 Article 📅 1970 🏛 Elsevier Science 🌐 English ⚖ 312 KB

Explicit solution of systems of second-o

Explicit solution of systems of second-order differential-difference equations

✍ L. Jódar; J.A. Martin Alustiza 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 942 KB

Method for the numerical solution of lin

Method for the numerical solution of linear second-order differential equations

✍ Ian H Sloan 📂 Article 📅 1968 🏛 Elsevier Science 🌐 English ⚖ 276 KB

On the nonhomogeneous second-order Euler

On the nonhomogeneous second-order Euler operator differential equation: Explicit solutions

✍ Lucas Jódar 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 568 KB

An explicit Numerov-type method for seco

An explicit Numerov-type method for second-order differential equations with oscillating solutions

✍ Hans Van de Vyver 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 598 KB

In this paper a new explicit Numerov-type method is introduced. The construction is based on a modification of a sixth-order explicit Numerov-type method recently developed by Tsitouras [Ch. Tsitouras, Explicit Numerov type methods with reduced number of stages, Comput. Math. Appl. 45 (2003) 37-42].