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The solution of modified sol gel particles contained tetraethoxysilane (TEOS) and the organosilane 3-glycidyloxypropyltriethoxysilane (GPTEOS).
Hakeemullah et al. [30] used the optimal homotopy asymptotic method (OHAM) for approximating the solution of modified Kawahara equations.
The aim of this paper is to study the high order difference scheme for the solution of modified anomalous fractional sub-diffusion equation.
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The solutions of modified Morley equation, which can be applicable up to ρ0 = d/D ⩽ 0.8 and λ = d/ DT 1/2 ⩽ 8 and the order of accuracy is raised to O(T/D), for the four loading cases are given.
Vaswani and Lu [7] analyzed when is the solution of modified-CS equal to the original vector x∗, i.e., the recoverability problem.
First, we propose a probabilistic measure of recoverability expressed as the probability that the solution of modified-CS is equal to the original vector x∗.
The DRBEM application is carried out with the fundamental solution of modified Helmholtz equation, resulting in linear algebraic systems for the time dependent unknowns.
The theoretical model is based on the numerical solution of modified nonlinear Schrödinger equation with a driven extension.
Numerical scheme based on quartic B-spline collocation method is designed for the numerical solution of modified regularized long wave (MRLW) equation.
The gains of the observer depend on the solution of a modified Riccati equation.
In Section 3, we establish some necessary a priori estimations of the solution of the modified regularized problem.
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