Cubic interpolated pseudo-particle method (CIP) for solving hyperbolic- type equations. (English) Zbl 0607.65055

This paper presents a new cubic-polynomial interpolation scheme where the gradient of the quantity is a free parameter. The gradient is calculated by the spatial derivative of the model equation. This scheme can be extended to nonlinear equations. Results of this analysis will be published in future papers as indicated by the authors.
Reviewer: P.K.Mahanti


65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35L15 Initial value problems for second-order hyperbolic equations
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