Publication: Non-Polynomial Spline Method for a Time-Dependent Heat-Like Lane- Emden Equation
Uçar, Mehmet Fatih
Çağlar, Süleyman Hikmet
Polish Acad Sciences inst Physics, Al Lotnikow 32-46, Pl-02-668 Warsaw, Poland
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.
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