Numerical solution of initial value problems by rational interpolation method using Chebyshev polynomials

Numerical solution of fuzzy initial value problems under generalized dierentiability by HPM

Numerical Solution of Nonlinear Fin Problems via Initial Value Method

In general the mathematical model for steady, one-dimensional conduction in fins appears as a nonlinear, two-point boundaryvalue problem. The nonlinearities arise due to radiative surface heat transfer, temperature dependent thermal conductivity or heat transfer coefficient etc. [i]. Often in such cases a numerical solution has to be obtained. Examining the literature reporting such solutions i...

Numerical solution of optimal control problems by using a new second kind Chebyshev wavelet

The main purpose of this paper is to propose a new numerical method for solving the optimal control problems based on state parameterization. Here, the boundary conditions and the performance index are first converted into an algebraic equation or in other words into an optimization problem. In this case, state variables will be approximated by a new hybrid technique based on new second kind Ch...

Numerical Solution of Fuzzy Polynomials by Newton-Raphson Method

The main purpose of this paper is to find fuzzy root of fuzzy polynomials (if exists) by using Newton-Raphson method. The proposed numerical method has capability to solve fuzzy polynomials as well as algebric ones. For this purpose, by using parametric form of fuzzy coefficients of fuzzy polynomial and Newton-Rphson method we can find its fuzzy roots. Finally, we illustrate our approach by nu...

Optimal Stability Polynomials for Numerical Integration of Initial Value Problems