Solving a nonlinear fractional differential equation using Chebyshev wavelets - ScienceDirect
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Based on collocation with Haar and Legendre wavelets, two efficient and new numerical
methods are being proposed for the numerical solution of elliptic partial differential …

We introduce two new spectral wavelets algorithms for solving linear and nonlinear
fractional‐order Riccati differential equation. The suggested algorithms are basically based …

In this paper we present two new numerically stable methods based on Haar and Legendre
wavelets for one-and two-dimensional parabolic partial differential equations (PPDEs). This …

In this paper, a new spectral algorithm for solving linear and nonlinear fractional-order initial
value problems is established. The key idea for obtaining the suggested spectral numerical …

A steady-state roll motion of ships with nonlinear damping and restoring moments for all
times is modeled by a second-order nonlinear differential equation. Analytical expressions …

In this paper, we use a method based on the operational matrices to the solution of the
fractional partial differential equations. The main approach is based on the operational …

In this paper, we derive the numerical solutions of the various fractional-order Riccati type
differential equations using the third-kind Chebyshev wavelet operational matrix of fractional …

Numerical solutions of nonlinear system of two-dimensional integral equations have been
rarely investigated in the literature. In this study, we suggest a numerically practical …

The optimal control for vibration suppression of a plate by distributed piezoelectric actuators
is considered. A performance index in the form of a weighted quadratic functional of the …