High order implicit collocation method for the solution of two-dimensional linear hyperbolic equation
β Scribed by Mehdi Dehghan; Akbar Mohebbi
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 187 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0749-159X
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π SIMILAR VOLUMES
In this study, a Hermite matrix method is presented to solve high-order linear Fredholm integro-differential equations with variable coefficients under the mixed conditions in terms of the Hermite polynomials. The proposed method converts the equation and its conditions to matrix equations, which co
In this article, we combine finite difference approximations (for spatial derivatives) and collocation techniques (for the time component) to numerically solve the two-dimensional heat equation. We employ, respectively, second-order and fourth-order schemes for the spatial derivatives, and the discr
## Abstract In this article, we apply compact finite difference approximations of orders two and four for discretizing spatial derivatives of wave equation and collocation method for the time component. The resulting method is unconditionally stable and solves the wave equation with high accuracy.