نتایج جستجو برای: spectral quasilinearization method
تعداد نتایج: 1760022 فیلتر نتایج به سال:
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...
A Refinement of Quasilinearization Method for Caputo's Sense Fractional-Order Differential Equations
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...
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 ...
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...
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...
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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