Publication:
Non-Polynomial Spline Method for a Time-Dependent Heat-Like Lane- Emden Equation

Date
2012-01
Authors
Uçar, Mehmet Fatih
Çağlar, Süleyman Hikmet
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Publisher
Polish Acad Sciences inst Physics, Al Lotnikow 32-46, Pl-02-668 Warsaw, Poland
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Abstract

In this study, a time-dependent heat-like Lane-Emden equation is solved by using a non-polynomial spline method. An example is solved to assess the accuracy of the method. The numerical results are obtained for different values (n) of equation. The results indicate that non-polynomial spline method is effectively implemented. It is seen that results are compatible with exact solutions and consistent with other existing numerical methods.

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Keywords
variational iteration method , wave-like equations , adomian decomposition method , fowler type equations , differential-equations , variable-coefficients , approximate solution , değişken yineleme yöntemi , dalga benzeri denklemler , adom ayrışma yöntemi , fowler tipi denklemler , diferansiyel denklemler , değişken katsayıları , yaklaşık çözüm
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