An interval difference method for solving hyperbolic partial differential equations

Authors:
Barbara Szyszka
Affiliations:
Poznan University of Technology, Institute of Mathematics, Poznan, Poland
Venue:
MACMESE'11 Proceedings of the 13th WSEAS international conference on Mathematical and computational methods in science and engineering
Year:
2011

Citing 2
Cited 1

Methods and Applications of Interval Analysis (SIAM Studies in Applied and Numerical Mathematics) (Siam Studies in Applied Mathematics, 2.)

Methods and Applications of Interval Analysis (SIAM Studies in Applied and Numerical Mathematics) (Siam Studies in Applied Mathematics, 2.)
Introduction to Interval Analysis

Introduction to Interval Analysis

A central-backward difference interval method for solving the wave equation

PARA'12 Proceedings of the 11th international conference on Applied Parallel and Scientific Computing

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Abstract

The paper presents a proposition of construction the interval method of second order for solving hyperbolic PDE. The central-backward difference interval method for one dimensional wave equation is taken into consideration. The suitable Dirichlet and Cauchy conditions are satisfied for the string with fixed endpoints. The estimations of suitable truncation errors are proposed.