Journal
COMPUTATIONAL & APPLIED MATHEMATICS
Volume 37, Issue 3, Pages 2816-2836Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s40314-017-0481-6
Keywords
Generalized SRLW equations; Compact difference scheme; Conservative; Convergence in L-infinity-norm; Iterative algorithm
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Funding
- China Scholarship Council
- Project of Natural Science Foundation of Heilongjiang Province [E201451]
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In this paper, we design a compact finite difference scheme which preserves the original conservative properties to solve the generalized symmetric regularized long-wave equations. The existence of the difference solution is proved by the Brouwer fixed-point theorem. Applying the discrete energy method, the convergence and stability of the difference scheme is obtained, and its numerical convergence order is in the -norm for u and . For computing the nonlinear algebraic system generated by the compact scheme, a decoupled iterative algorithm is constructed and proved to be convergent. Numerical experiment results show that the theory is accurate and the method is efficient and reliable.
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