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

L. Györfi, I. Joó, A. Sövegjártó

Research output: Contribution to journalArticle

2 Citations (Scopus)

### Abstract

The aim of this paper is to give a numerical method for the solution of evolution equations in Banach spaces. This method is based on a spline approximation of the exact solution which is a generalisation and continuation of earlier results [1-4]. It is considered to be a first-order evolutionary problem, given the numerical method and proven the convergence of the approximate solution.

Original language English 1123-1133 11 Computers and Mathematics with Applications 42 8-9 https://doi.org/10.1016/S0898-1221(01)00226-7 Published - Aug 24 2001

### Fingerprint

Banach spaces
Splines
Spline
Evolution Equation
Numerical methods
Numerical Methods
Banach space
First-order
Spline Approximation
Continuation
Approximate Solution
Exact Solution
Generalization

### Keywords

• Evolution equations
• Initial value problems
• Single step methods
• Spline approximation

### ASJC Scopus subject areas

• Applied Mathematics
• Computational Mathematics
• Modelling and Simulation

### Cite this

Spline techniques for solving first-order evolution equations in Banach spaces. / Györfi, L.; Joó, I.; Sövegjártó, A.

In: Computers and Mathematics with Applications, Vol. 42, No. 8-9, 24.08.2001, p. 1123-1133.

Research output: Contribution to journalArticle

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