ADI Method for Pseudoparabolic Equation with Nonlocal Boundary Conditions
Copyright policy )ADI Method for Pseudoparabolic Equation with Nonlocal Boundary Conditions
This paper deals with the numerical solution of nonlocal boundary-value problem for two-dimensional pseudoparabolic equation which arise in many physical phenomena. A three-layer alternating direction implicit method is investigated for the solution of this problem. This method generalizes Peaceman–Rachford’s ADI method for the 2D parabolic equation. The stability of the proposed method is proved in the special norm. We investigate algebraic eigenvalue problem with nonsymmetric matrices to prove this stability. Numerical results are presented.
- Vilnius University Lithuania
pseudoparabolic equation, ADI method, nonlocal conditions, QA1-939, eigenvalue problem for difference operator, finite difference method, Mathematics
pseudoparabolic equation, ADI method, nonlocal conditions, QA1-939, eigenvalue problem for difference operator, finite difference method, Mathematics
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