A new Fibonacci type collocation procedure for boundary value problems

Advances in Difference Equations

Aydn Kurnaz¹  Aye Betl Ko²  Kemal Uslu²  Musa akmak³ 

[1] Vocational School, Mustafa Kemal University, Hatay, Turkey;Department of Mathematics, Faculty of Science, Selcuk University, Konya, Turkey;Yayladagı

关键词: ordinary differential equations;    spectral methods;    collocation method;    Fibonacci polynomials;   

DOI  :  10.1186/1687-1847-2013-262

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this study, we present a new procedure for the numerical solution of boundary value problems. This approach is mainly founded on the Fibonacci polynomial expansions, the so-called pseudospectral methods with the collocation method. The applicability and effectiveness of our proposed approach is shown by some illustrative examples. Then, the results indicate that this method is very effective and highly promising for linear differential equations defined on any subinterval of the real domain. MSC: 35A25.

【 授权许可】

CC BY