نتایج جستجو برای: spectral quasilinearization method

تعداد نتایج: 1760022  

2007
Lenka Čelechovská-Kozáková

We propose a new modification of Bellman’s quasilinearization method such that at any iteration step, it works with an approximate solution of the original nonlinear system and with new approximation of parameters α(k+1) which are close enough to the previous ones. As an output, this approach provides a construction of a convergent sequence of parameters where the limit is the best approximatio...

2010
Rahmat Ali Khan

Existence and approximation of solutions for a class of boundary value problems on time scales of the type − [p(t)y∆(t)]∇ + q(t)y(t) = f(t, y(t)), t ∈ [a, b]T, c1y(ρ(a))− c2y(ρ(a)) = 0, d1y(b) + d2y(b) = 0, is established. For the existence theory, we develop the method of upper and lower solutions. To approximate the solution, we develop the generalized method of quasilinearization. We show th...

Journal: :Mathematics 2022

In this paper, we present a numerical approach to solving singularly perturbed semilinear convection-diffusion problems. The nonlinear part of the problem is linearized via quasilinearization technique. We then design and implement fitted operator finite difference method solve sequence linear problems that emerges from process. carry out rigorous analysis attest convergence proposed procedure ...

Journal: :journal of computational applied mechanics 0
s. kamal jalali phd student, school of mechanical engineering, university of tehran, tehran, iran m. hassan naei university of tehranassociate professor, school of mechanical engineering, university of tehran, tehran, iran

the present paper investigates the potential application of graphene sheets with attached nanoparticles as resonant sensors by introducing a nonlocal shear deformation plate model. to take into account an elastic connection between the nanoplate and the attached nanoparticle, the nanoparticle is considered as a mass-spring system. then, a combination of pseudo-spectral and integral quadrature m...

Journal: :computational methods for differential equations 0
hossein pourbashash department of mathematics, university of garmsar, garmsar-iran

in this paper, a numerical efficient method is proposed for the solution of time fractionalmobile/immobile equation. the fractional derivative of equation is described in the caputosense. the proposed method is based on a finite difference scheme in time and legendrespectral method in space. in this approach the time fractional derivative of mentioned equationis approximated by a scheme of order o...

Journal: :international journal of industrial mathematics 0
a. shoja‎ department of mathematics‎, ‎science and research branches‎, ‎islamic azad university‎, ‎tehran‎, ‎iran. e. babolian department of mathematics‎, ‎science and research branches‎, ‎islamic azad university‎, ‎tehran‎, ‎iran. a. r. vahidi department of mathematics‎, ‎science and research branches‎, ‎islamic azad university‎, ‎tehran‎, ‎iran.

in this paper, a new spectral-iterative method is employed to give approximate solutions of fractional logistic differential equation. this approach is based on combination of two different methods, i.e. the iterative method cite{35} and the spectral method. the method reduces the differential equation to systems of linear algebraic equations and then the resulting systems are solved by a numer...

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