Sayısal İntegral Metodu ile Singüler Pertürbe Multi-Point Sınır Değer Problemlerinin Sayısal Çözümü

Bu çalışmada, sağ ya da sol sınır katlarına sahip singüler pertürbe multi-point sınır değer probleminin çözümü içindüzgün şebeke üzerinde sayısal integral metodu sunulur. Bu metodun yanında yamuk metodu, sonlu fark metoduve Thomas algoritmasından yararlanılır. Önerilen yöntemin kararlılığı ve yakınsaklığı analiz edilir. Son olarak da,yöntemin doğruluğunu ve verimliliğini gösteren örnek uygulamalar yapılır.

A Numerical Solution for Singularly Perturbed Multi-Point Boundary Value Problems with the Numerical Integration Method

In this study, the numerical integral method on a uniform mesh presented to solve the singularly perturbed multipoint boundary value problem with the right or left boundary layer. Besides this method, trapezoid method, finite difference method and Thomas algorithm are used. The stability and convergence of the proposed method is analyzed. Finally, sample applications are performed to demonstrate the accuracy and efficiency of the method.

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