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

• Authors: S. Caglar , M. Ucar
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

02.30.Jr; 02.60.Lj; 02.70.Bf; 02.70.Jn; 44.05.+e

Discipline

• 02.70.Jn: Collocation methods
• 02.70.Bf: Finite-difference methods
• 02.60.Lj: Ordinary and partial differential equations; boundary value problems
• 02.30.Jr: Partial differential equations
• 44.05.+e: Analytical and numerical techniques

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 121
• Issue: 1
• Pages: 262-264

Dates

published

2012-01

Contributors

author

S. Caglar

• Department of Mathematics - Computer, Istanbul Kultur University, 34156 Atakoy, Istanbul, Turkey

author

M. Ucar

• Department of Mathematics - Computer, Istanbul Kultur University, 34156 Atakoy, Istanbul, Turkey

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Identifiers

DOI

10.12693/APhysPolA.121.262