Authors | حمیدرضا مرزبان,حمیدرضا تبریزی دوز,محسن رزاقی |
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Journal | Physics Letters A |
Page number | 5883 |
Volume number | 372 |
IF | ثبت نشده |
Paper Type | Full Paper |
Published At | 2008-07-31 |
Journal Grade | Scientific - research |
Journal Type | Electronic |
Journal Country | Iran, Islamic Republic Of |
Journal Index | SCOPUS ,ISI-Listed |
Abstract
A numerical method for solving nonlinear initial-value problems is proposed. The Lane–Emden type equations which have many applications in mathematical physics are then considered. The method is based upon hybrid function approximations. The properties of hybrid of block-pulse functions and Lagrange interpolating polynomials are presented and are utilized to reduce the computation of nonlinear initial-value problems to a system of non-algebraic equations. The method is easy to implement and yields very accurate results.
tags: Block-pulse functions Lagrange interpolating polynomials Nonlinear initial-value problems Lane–Emden equation