The method of upper and lower solutions and the generalized quasilinearization technique for second-order nonlinear m-point dynamic equations on time scales of the type xΔΔ t f t, x , t ∈ 0, 1 T 0, 1 ∩ T, x 0 0, x σ2 1 ∑m−1 i 1 αix ηi , ηi ∈ 0, 1 T, ∑m−1 i 1 αi ≤ 1, are developed. A monotone sequence of solutions of linear problems converging uniformly and quadratically to a solution of the pro...

The analysis of heat conduction through a solid with heat generation leads to a linear matrix differential equation with separated boundary conditions. We present a symmetric second order exponential integrator for the numerical integration of this problem using the imbedding formulation. An algorithm to implement this explicit method in an efficient way with respect to the computational cost o...

The generalized quasilinearization technique has been employed to obtain a sequence of approximate solutions converging monotonically and rapidly to a solution of the nonlinear Neumann boundary value problem.

Objective: This study investigates the Numerical solution of laminar boundary layer flow Magnetohydrodynamics (MHD) model for power-law fluid over a continuous moving surface in presence transverse magnetic. Methods: The governing partial differential equation was transformed into non-linear ordinary using Group theoretic method. Firstly, we convert this (ODE) linear by quasilinearization proce...

In this paper, we propose a method for solving some classes of the singular fractional nonlinear Lane-Emden type equations. The is proposed by utilizing second-kind Chebyshev wavelets in conjunction with quasilinearization technique. operational matrices are used. tested on standard equation, isothermal gas spheres and other examples. We compare results produced present well-known to show accur...

in this paper, the dierential transform method (dtm) is applied to the fisherequation. this method can be used to obtain the exact solutions of fisherequation. finally, we give some examples to illustrate the suciency of themethod for solving such nonlinear partial dierential equations. these resultsshow that this technique is easy to apply.