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Chebyshev Approximate Solution to Allocation Problem in Multiple Objective Surveys with Random Costs
Chance Constrained Programming Multivariate Stratified Sampling Optimum Allocation Chebyshev Approximation
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...
Approximate Solution of the Singular-Perturbation Problem on Chebyshev-Gauss Grid
Singular Perturbation Problems Two-Point Boundary Value Problems The Shifted Chebyshev Polynomials Approximation Method Matrix Method
2013/1/30
Matrix methods, now-a-days, are playing an important role in solving the real life problems governed by ODEs and/or by PDEs. Many differential models of sciences and engineers for which the existing m...
Explicit approximate solution for finding the natural frequency of the motion of pendulum by using the HAM
Frequency Nonlinear oscillation Series solutions
2010/9/13
In this work, we use a powerful analytical method called homotopy analysis method (HAM) to derive the frequency of a nonlinear oscillating system. Unlike the perturbation method, the HAM does not requ...