Title of article :
Numerical treatment of oscillatory functional differential equations
Author/Authors :
Ford، نويسنده , , Neville J. and Yan، نويسنده , , Yubin and Abdul Malique، نويسنده , , Md.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
Pages :
11
From page :
2757
To page :
2767
Abstract :
In this paper we are concerned with oscillatory functional differential equations (that is, those equations where all the solutions oscillate) under a numerical approximation. Our interest is in the preservation of qualitative properties of solutions under a numerical discretisation. We give conditions under which an equation is oscillatory, and consider whether the discrete schemes derived using linear ϑ -methods will also be oscillatory. We conclude with some general theory.
Keywords :
Delay equations , Functional differential equations , Oscillatory solutions , numerical schemes , Discrete equations
Journal title :
Journal of Computational and Applied Mathematics
Serial Year :
2010
Journal title :
Journal of Computational and Applied Mathematics
Record number :
1555873
Link To Document :
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