Finite-difference solutions of tenth-order boundary-value problems [PDF]
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.In this thesis finite difference methods are used to obtain numerical solutions for a class of high-order ordinary differential equations with applications ...
Siddiqui, Aijaz Ahmad
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Boundary value problems for the Helmholtz equation in a half-plane [PDF]
The Dirichlet and impedance boundary value problems for the Helmholtz equation in a half-plane with bounded continuous boundary data are studied. For the Dirichlet problem the solution can be constructed explicitly. We point out that, for wavenumbers k >
Chandler-Wilde, SN
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Multiderivative methods for nonlinear second order boundary value problems [PDF]
Second, fourth and sixth order methods are developed and analysed for the numerical solution of non-linear second order boundary value problems. The methods arise from a two-step recurrence relation involving exponential terms, these being replaced by ...
Tirmizi, S I A, Twizell, E H
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Asymptotically accurate error estimates of exponential convergence for the trapezoidal rule
In many applied problems, efficient calculation of quadratures with high accuracy is required. The examples are: calculation of special functions of mathematical physics, calculation of Fourier coefficients of a given function, Fourier and Laplace ...
Aleksandr A. Belov +1 more
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Numerical solution of two dimensional harmonic boundary problems containing singularities by conformal transformation methods [PDF]
Numerical solutions to a class of two dimensional harmonic mixed boundary value problems defined on rectangular domains and containing singularities are obtained using conformal transformation methods.
Whiteman, J R, Papamichael, N
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Initial and boundary value problems in two and three dimensions [PDF]
This thesis: (a) presents the solution of several boundary value problems (BVPs) for the Laplace and the modified Helmholtz equations in the interior of an equilateral triangle; (b) presents the solution of the heat equation in the interior of an ...
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Plane problem of discrete environment mechanics
Many engineering problems related to the design of structures and machines, the mathematical description of technological processes, etc., are reduced to the need to solve a plane problem for materials with a significant effect of internal friction on ...
O.V. Bagrii
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On eigenvalues of third order composite type equations with regular boundary value conditions
In the paper the question about distribution of eigenvalues of third - order composite type equations with regular, more precisely, with periodic boundary value conditions is studied.
N.S. Imanbaev, M.N. Ospanov
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Elastic Equilibrium of Porous Cosserat Media with Double Porosity
The static equilibrium of porous elastic materials with double porosity is considered in the case of an elastic Cosserat medium. The corresponding three-dimensional system of differential equations is derived.
Roman Janjgava
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Numerical methods for sixth-order boundary-value problems [PDF]
A family of numerical methods is developed for the solution of special nonlinear sixth-order boundary-value problems. Methods with second-, fourth-, sixth- and eighth-order convergence are contained in the family.
Twizell, E H, Boutayeb, A
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