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Spectral Galerkin methods for the primary two‐point boundary value problem in modelling viscoelastic flows
(1988)
The essential character of the primary elliptic‐hyperbolic operator encountered in the modelling of viscoelastic flows is encaptured in a non‐linear fifth‐order two‐point boundary value problem in one dimension. Expansions ...
Spectral collocation methods for the primary two‐point boundary value problem in modelling viscoelastic flows
(1988)
Expansions in terms of beam functions and Chebyshev polynomials are used to compute solutions to the primary two‐point boundary value problem within a spectral collocation formulation. The performance of the methods is ...
The Almansi method of fundamental solutions for solving biharmonic problems
(1988)
A new fundamental solutions method for the numerical solution of two‐dimensional biharmonic problems is described. In this method, which is based on the Almansi representation of a biharmonic function in the plane, the ...
Numerical solution of a free surface problem by a boundary element method
(1988)
This paper describes a method for the numerical solution of a Riabouchinsky cavity flow. Application of a boundary element method leads to a system of non‐linear equations. The mild singularity appearing at the separation ...