## THERMAL SCIENCE

International Scientific Journal

### A LINEAR FINITE DIFFERENCE SCHEME FOR THE GENERALIZED DISSIPATIVE SYMETRIC REGULARIZED LONG WAVE EQUATION WITH DAMPING

**ABSTRACT**

In this paper, we study and analyze a three-level linear finite difference scheme for the initial boundary value problem of the symmetric regularized long wave equation with damping. The proposed scheme has the second accuracy both for the spatial and temporal discretization. The convergence and stability of the numerical solutions are proved by the mathematical induction and the discrete functional analysis. Numerical results are given to verify the accuracy and the efficiency of proposed algorithm.

**KEYWORDS**

PAPER SUBMITTED: 2018-05-16

PAPER REVISED: 2018-09-10

PAPER ACCEPTED: 2018-12-05

PUBLISHED ONLINE: 2019-03-31

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**Supplement 3**, PAGES [S719 - S726]

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