Numerical Solution and Stability of Block Method for Solving Functional Differential Equations  

Oleh:

Ishak, Fuziyah ; Suleiman, Mohamed B. ; Majid, Zanariah A.

Jenis: Article from Books - E-Book
Dalam koleksi: Transactions on Engineering Technologies: Special Volume of the World Congress on Engineering 2013, page 597-609.
Topik: Block method; Delay differential equation; Functional differential equation; Neutral delay differential equation; Polynomial interpolation; Stability region
Fulltext: 43_978-94-017-8831-1_Ishak_Suleiman_Majid.pdf (452.5KB)

Isi artikel

In this article, we describe the development of a two-point block method for solving functional differential equations. The block method, implemented in variable stepsize technique produces two approximations simultaneously using the same back values. The grid-point formulae for the variable steps are derived, calculated and stored at the start of the program for greater efficiency. The delay solutions for the unknown function and its derivative at earlier times are interpolated using the previous computed values. Stability regions for the block method are illustrated. Numerical results are given to demonstrate the accuracy and efficiency of the block method.

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