Spline techniques for solving first-order evolution equations in Banach spaces

✍ Scribed by L. Győrfi; I. Joó; A. Sövegjártó

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 651 KB
• Volume: 42
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(01)00226-7

✦ Synopsis

The aim of this paper is to give a numerical method for the solution of evolution equations in Bansch spaces. This method is based on a spline approximation of the exact solution which is a generalisation and continuation of earlier results [l-4]. It is considered to be a first-order evolutionary problem, given the numerical method and proven the convergence of the approximate solution.