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Two Initial Value Problems Approach for Solving Singular Perturbations Problems
Singular Perturbation Initial Value Problems Asymptotic Power Series Expansions
2013/1/30
In this paper, we presented an initial value approach for solving singularly perturbed two point boundary value problems with the boundary layer at one end (left or right). By employing asymptotic pow...
A Spectral Method in Time for Initial-Value Problems
Initial-Value Problem WRM Time-Spectral Spectral Method Chebyshev Polynomial Fluid Mechanics MHD
2013/1/30
A time-spectral method for solution of initial value partial differential equations is outlined. Multivariate Chebyshev series are used to represent all temporal, spatial and physical parameter domain...
Time-Spectral Solution of Initial-Value Problems—Subdomain Approach
Initial-Value Problem Multiple Time Scales Time-Spectral Spectral Method Weighted Residual Method Subdomains Domain Decomposition
2013/1/30
Temporal and spatial subdomain techniques are proposed for a time-spectral method for solution of initial-value problems. The spectral method, called the generalised weighted residual method (GWRM), i...