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Numerical solution of a two-disk problem
Numerical solution control system and feedback compensator Fahrenheit convex programming numerical Fahrenheit programming
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2015/8/12
A multidisk problem in frequency domain control system synthesis is a problem in which the designer wishes to find a feedback compensator that minimizes the H_infty-norm of a certain transfer matrix r...
A New Block-Predictor Corrector Algorithm for the Solution of y’’’=f(x, y, y’, y’’)
Collection Interpolation Power Series Approximant Linear Multistep Continuous Coefficient Block Method
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2013/1/30
We consider direct solution to third order ordinary differential equations in this paper. Method of collection and interpolation of the power series approximant of single variable is considered to der...
Numerical Solution of Generalized Abel’s Integral Equation by Variational Iteration Method
Variational Iteration Method Singular Integral Equation Abel’s Kernel
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2013/1/30
In this paper, a user friendly algorithm based on the variational iteration method (VIM) is proposed to solve singular integral equations with generalized Abel’s kernel. It is observed that an approxi...
Effective Solution of Riemann Problem for Fifth Order Improperly Elliptic Equation on a Rectangle
polyharmonic Equation Boundary Value Problem Dirichlet Problem Improperly Elliptic Equation Riemann Problem Grid Method
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2013/1/30
In this paper we present a numerical method for solving Riemann type problem for the fifth order improperly elliptic equation in complex plane .We reduce this problem to the boundary value problems fo...
Symplectic Discretization for Spectral Element Solution of Maxwell’s Equations
Maxwell’s Equations Spectral Element Method Poisson System Sym-plectic Partitioned Runge-Kutta Method
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2012/8/8
Based on the GLL-spectral element discretization of time-dependent Maxwell’s equa-
tions introduced recently, we obtain a Poisson system or a Poisson system with a little
oscillation. We prove that ...
Solution of Singular Integrals in Mathematical Model of Mode I Crack near Strength Mismatched Interface
Crack Opening Displacement Singular Integrals Strength Mismatch Weld Interface Cauchy’s Principal Value Theorem
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2013/1/30
Characteristics of Mode I crack near the interface of elasticity matched but plasticity and strength mismatched materials differ from those of the crack in a homogenous body. Interface body of differe...
Numerical Solution of the Fredholme-Volterra Integral Equation by the Sinc Function
Fredholme-Volterra Integral Equation Sinc Function Collocation Method
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2013/1/30
In this paper, we use the Sinc Function to solve the Fredholme-Volterra Integral Equations. By using collocation method we estimate a solution for Fredholme-Volterra Integral Equations. Finally conver...
One Approach to Construction of Bilateral Approximations Methods for Solution of Nonlinear Eigenvalue Problems
Nonlinear Eigenvalue Problem Derivatives of Matrix Determinant Numerical Algorithm of Alternate Approximations
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2013/1/30
In this paper a new approach to construction of iterative methods of bilateral approximations of eigenvalue is proposed and investigated. The conditions on initial approximation, which ensure the conv...
A Wavelet Based Method for the Solution of Fredholm Integral Equations
Coiflet Scaling Function Interpolation Wavelet Fredholm Integral Equation Multiresolution Analysis
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2013/1/30
In this article, we use scaling function interpolation method to solve linear Fredholm integral equations, and we prove a convergence theorem for the solution of Fredholm integral equations. We presen...
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
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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...
Solution Building for Arbitrary System of Linear Inequalities in an Explicit Form
Linear Inequalities Convolution Variable Elimination Orthogonal Projection Method Fourier Algorithm Chernikov Rules Dependent Inequalities Redundant Inequalities Almost Dependent Inequalities Matrix Cleanup Coarsening
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2013/1/30
The known Fourier-Chernikov algorithm of linear inequality system convolution is complemented with an original procedure of all dependent (redundant) inequalities deletion. The concept of !°almost dep...
A New Fourth Order Difference Approximation for the Solution of Three-dimensional Non-linear Biharmonic Equations Using Coupled Approach
Three-Dimensional Non-Linear Biharmonic Equation Finite Differences Fourth Order Accuracy Compact Discretization Block-Block-Tridiagonal Tangential Derivatives Laplacian Stream Function Reynolds Number
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2013/1/30
This paper deals with a new higher order compact difference scheme, which is, O(h4) using coupled approach on the 19-point 3D stencil for the solution of three dimensional nonlinear biharmonic equatio...
Chebyshev Approximate Solution to Allocation Problem in Multiple Objective Surveys with Random Costs
Chance Constrained Programming Multivariate Stratified Sampling Optimum Allocation Chebyshev Approximation
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2013/1/30
In this paper, we consider an allocation problem in multivariate surveys as a convex programming problem with non-linear objective functions and a single stochastic cost constraint. The stochastic con...
Analytical Solution of Two Extended Model Equations for Shallow Water Waves by He’s Variational Iteration Method
He’s Variational Iteration Method Shallow Water Wave Equation
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2013/1/30
In this paper, we consider two extended model equations for shallow water waves. We use He’s variational iteration method (VIM) to solve them. It is proved that this method is a very good tool for sha...
Solution of the Generalized Abel Integral Equation by Using Almost Bernstein Operational Matrix
Abel Inversion Bernstein Polynomials Almost Bernstein Operational Matrix Of Integration Noise Resistance
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2013/1/30
A direct almost Bernstein operational matrix of integration is used to propose a stable algorithm for numerical inversion of the generalized Abel integral equation. The applicability of the earlier pr...