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An operational matrix method for solving Lane-Emden equations arising in astrophysics. (English) Zbl 1299.74181

Summary: This paper deals with the numerical solution of Lane-Emden equations in arising in astrophysics by using truncated shifted Chebyshev series together with the operational matrix. The main characteristic behind the approach using this technique is that it reduces such problems to those of solving a system of algebraic equations those greatly simplifying the problem. Some examples are included to demonstrate the validity and applicability of the this technique.

MSC:

74S25 Spectral and related methods applied to problems in solid mechanics
34K28 Numerical approximation of solutions of functional-differential equations (MSC2010)
34B16 Singular nonlinear boundary value problems for ordinary differential equations
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