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The Pseudo-Spectral Collocation Method for Resonant Long-Short Nonlinear Wave Interaction
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Abdur Rashid
Veröffentlicht/Copyright:
10. März 2010
Abstract
A pseudo-spectral collocation method for a class of equations describing resonant long-short wave interaction is studied. Semi-discrete and fully discrete Fourier pseudo-spectral collocation schemes are given. In fully discrete case we establish a three-level explicit scheme which is convenient and saves time in real computation. We use energy estimation methods to obtain error estimates for the approximate solutions.
Key words and phrases:: Long-short wave interaction; pseudo-spectral collocation method; energy estimation
Received: 2004-11-30
Published Online: 2010-03-10
Published in Print: 2006-March
© Heldermann Verlag
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Schlagwörter für diesen Artikel
Long-short wave interaction;
pseudo-spectral collocation method;
energy estimation
Artikel in diesem Heft
- A Common Fixed Point Theorem Connected to a Result of V. Popa and H. K. Pathak
- Holomorphic Vector Bundles on Holomorphically Convex Complex Manifolds
- Controllability of Sobolev Type Semilinear Functional Differential and Integrodifferential Inclusions with an Unbounded Delay
- Fixed Point Techniques and Stability for Neutral Nonlinear Differential Equations with Unbounded Delays
- Solution of a Nonclassical Problem of Oscillation of Two-Component Mixtures
- On the Fourier Expansions of Eisenstein Series of Some Types
- On the Full Transitivity of a Cotorsion Hull
- On Generating Relations Involving Generalized Gegenbauer Polynomials
- On Some Mutual Positions of Hyperplanes in a Finite-Dimensional Affine Space
- The Maximal Operator in Variable Spaces 𝐿 𝑝(·)(Ω, ρ) with Oscillating Weights
- A Rational Model for the Evaluation Map
- The Pseudo-Spectral Collocation Method for Resonant Long-Short Nonlinear Wave Interaction
- A Vector-Valued Sharp Maximal Inequality on Morrey Spaces with Non-Doubling Measures
- A Noether Theorem on Unimprovable Conservation Laws for Vector-Valued Optimization Problems in Control Theory
- Weighted Inequalities for Integral Operators with Almost Homogeneous Kernels
- On the Convolution of Functions of Generalized Bounded Variations