## Abstract This paper reports on an experimental study of the effectiveness of high order numerical methods applied to linear elliptic partial differential equations whose solutions have singularities or similar difficulties (e.g. boundary layers, sharp peaks). Three specific hypotheses are establ
Partial differential equations with solutions having movable first-order singularities
β Scribed by Nick A. Kudryashov
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 362 KB
- Volume
- 169
- Category
- Article
- ISSN
- 0375-9601
No coin nor oath required. For personal study only.
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## Abstract In this article, we continue the numerical study of hyperbolic partial differentialβdifference equation that was initiated in (Sharma and Singh, __Appl Math Comput__ 201(2008), 229β238). In Sharma and Singh, the authors consider the problem with sufficiently small shift arguments. The t
In this paper, we deal with the existence of periodic solutions of the second-order di erential equations x + g(x) = p(t) with singularity near origin. By using the phase-plane analysis methods, we prove that the given equation has at least one periodic solution when g(x) exhibits semilinear conditi