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Full-Text Articles in Physical Sciences and Mathematics
Shifted Third Kind Chebyshev Operational Matrix To Solve Bvps Over Infinite Interval, Bushra E. Khashem
Shifted Third Kind Chebyshev Operational Matrix To Solve Bvps Over Infinite Interval, Bushra E. Khashem
Emirates Journal for Engineering Research
The main purpose of this research is to solve boundary value problems (BVPs) with an infinite number of boundary conditions. By reducing the infinite interval to finite interval that is large and approximating the variable using finite difference method, the resulting boundary value problem is reduced to linear system of algebraic equations with unknown shifted third kind chebychev coefficients. The applications are demonstrated via test examples.
Elements Of Functional Analysis And Applications, Chengting Yin
Elements Of Functional Analysis And Applications, Chengting Yin
MSU Graduate Theses
Functional analysis is a branch of mathematical analysis that studies vector spaces with a limit structure (such as a norm or inner product), and functions or operators defined on these spaces. Functional analysis provides a useful framework and abstract approach for some applied problems in variety of disciplines. In this thesis, we will focus on some basic concepts and abstract results in functional analysis, and then demonstrate their power and relevance by solving some applied problems under the framework. We will give the definitions and provide some examples of some different spaces (such as metric spaces, normed spaces and inner …
Approximation Of Solutions To The Mixed Dirichlet-Neumann Boundary Value Problem On Lipschitz Domains, Morgan F. Schreffler
Approximation Of Solutions To The Mixed Dirichlet-Neumann Boundary Value Problem On Lipschitz Domains, Morgan F. Schreffler
Theses and Dissertations--Mathematics
We show that solutions to the mixed problem on a Lipschitz domain Ω can be approximated in the Sobolev space H1(Ω) by solutions to a family of related mixed Dirichlet-Robin boundary value problems which converge in H1(Ω), and we give a rate of convergence. Further, we propose a method of solving the related problem using layer potentials.
The Complementing Condition In Elasticity, Lavanya Ramanan
The Complementing Condition In Elasticity, Lavanya Ramanan
Masters Theses
We consider a boundary value problem of nonlinear elasticity on a domain [omega] in R3 [3-dimensional space] and compute the Complementing Condition for the linearized equations at a point X0 [x zero] on boundary of omega. We assume a stored energy function depending on the first and third invariants of the deformation F and that the strong-ellipticity condition holds in [omega] . A surface traction boundary condition is imposed at X0.
The Complementing Condition is calculated from a system of 3 second-order ordinary differential equations (0 less than and equal to t less than infinity) with boundary …