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An unconditionally stable spline difference scheme of [formula omitted]for solving the second-order 1D linear hyperbolic equation

Authors
Journal
Mathematical and Computer Modelling
0895-7177
Publisher
Elsevier
Publication Date
Volume
49
Identifiers
DOI: 10.1016/j.mcm.2008.12.001
Keywords
  • Second-Order Linear Hyperbolic Equation
  • Quartic Spline
  • Spline Difference Scheme
  • Unconditionally Stable
  • Accuracy

Abstract

Abstract In this paper, the second-order linear hyperbolic equation is solved by using a new three-level difference scheme based on quartic spline interpolation in space direction and finite difference discretization in time direction. Stability analysis of the scheme is carried out. The proposed scheme is second-order accurate in time direction and fourth-order accurate in space direction. Finally, numerical examples are tested and results are compared with other published numerical solutions.

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