Computational Error Estimate for the Power Series Solution of ODE Using Zeros of Chebyshev Polynomial.

Issa, K.; Ibrahim, G. R.,; Bakare, G. N.

Computational Error Estimate for the Power Series Solution of ODE Using Zeros of Chebyshev Polynomial.

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COMPUTATIONAL ERROR ESTIMATE FOR THE POWER SERIES SOLUTION OF ODES USING ZEROS OF CHEBYSHEV POLYNOMIAL.pdf (950.58 KB)

Date

2015-05

Authors

Issa, K.

Ibrahim, G. R.,

Bakare, G. N.

Publisher

Journal of Nigerian Association of Mathematical Physics. Published by Nigerian Association of Mathematical Physics.

Abstract

This paper compares the error estimation of power series solution with recursive Tau method for solving ordinary differential equations. From the computational viewpoint, the power series using zeros of Chebyshev polynomial is effective, accurate and easy to use.

Keywords

Lanczos Tau method, , Chebyshev polynomial, , initial value problems, , Lanczos- Ortiz Canonical polynomial, , Ordinary Differential Equations

Citation

Issa. K., Ibrahim, G. R., and Bakare, G. N. (2015)

URI

http://hdl.handle.net/123456789/3815

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Computational Error Estimate for the Power Series Solution of ODE Using Zeros of Chebyshev Polynomial.

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