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Zbl 1198.65144
Kaya, M.O.; Demirbağ, S.Altay
Application of parameter expansion method to the generalized nonlinear discontinuity equation. (English)
[J] Chaos Solitons Fractals 42, No. 4, 1967-1973 (2009). ISSN 0960-0779

Summary: We introduce the generalized nonlinear discontinuity equation for the first time and solve the problem by using He's modified Lindstedt-Poincaré method and bookkeeping parameter method known as parameter expansion method. We obtain sufficiently accurate solutions with a first-order approximation that are valid for whole domain. The solutions obtained using the approach presented here are then compared to those in the literature and are found to agree well with them. \par Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

MSC 2000:: *65L99 Numerical methods for ODE

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Zentralblatt MATH Berlin [Germany]