[HTML][HTML] An efficient method for the fractional electric circuits based on Fibonacci wavelet

S Ahmed, K Shah, S Jahan, T Abdeljawad - Results in Physics, 2023 - Elsevier
In this article, we provide effective computational algorithms based on Fibonacci wavelet
(FW) to approximate the solution of fractional order electrical circuits (ECs). The proposed …

Hybrid Fibonacci wavelet method to solve fractional‐order logistic growth model

S Ahmed, S Jahan, KS Nisar - Mathematical Methods in the …, 2023 - Wiley Online Library
The aim of this study is to develop the Fibonacci wavelet method together with the quasi‐
linearization technique to solve the fractional‐order logistic growth model. The block‐pulse …

Numerical solution of time-fractional telegraph equations using wavelet transform

M Mulimani - International Journal of Dynamics and Control, 2024 - Springer
This study solves the time-fractional telegraph equations with Dirichlet boundary conditions
using a novel and effective wavelet collocation method based on Taylor wavelets. In the …

[HTML][HTML] Shifted fractional order Gegenbauer wavelets method for solving electrical circuits model of fractional order

P Yadav, S Jahan, KS Nisar - Ain Shams Engineering Journal, 2023 - Elsevier
This study introduces a novel numerical approach based on shifted fractional-order
Gegenbauer wavelets. The technique aims to provide approximate solutions for a certain …

Fibonacci wavelet method for time fractional convection–diffusion equations

P Yadav, S Jahan, KS Nisar - Mathematical Methods in the …, 2024 - Wiley Online Library
This study concentrates on time fractional convection–diffusion equations (TFCDEs) with
variable coefficients and their numerical solutions. Caputo derivative is used to calculate the …

[HTML][HTML] Wavelets collocation method for singularly perturbed differential–difference equations arising in control system

S Ahmed, S Jahan, KJ Ansari, K Shah… - Results in Applied …, 2024 - Elsevier
In this paper, we present a wavelet collocation method for efficiently solving singularly
perturbed differential–difference equations (SPDDEs) and one-parameter singularly …

An accurate numerical algorithm based on the generalized Narayana polynomials to solve a class of Caputo-Fabrizio and Liouville-Caputo fractional-order delay …

M Izadi, H Mohan Srivastava - Mathematical Communications, 2024 - hrcak.srce.hr
Sažetak spectral collocation-based approximate algorithm is adapted for numerical
evaluation of a class of fractional-order delay differential equations. The involved fractional …

An Efficient Method Based on Taylor Wavelet for Solving Nonlinear Stratonovich-Volterra Integral Equations

S Ahmed, S Jahan - International Journal of Applied and Computational …, 2024 - Springer
In this article, we present an effective technique for solving nonlinear Stratonovich-Volterra
integral equations. The technique is based on Taylor wavelet to construct the operational …

[PDF][PDF] Haar Wavelet Collocation Method for Telegraph Equations with Different Boundary Conditions

S Ahmed, S Jahan, KS Nisar - Jordan Journal of Mathematics …, 2024 - journals.yu.edu.jo
In this article, we study the Haar wavelet operational matrix approach for finding the
numerical solutions of hyperbolic telegraph equations under suitable initial and boundary …

[PDF][PDF] Results in Applied Mathematics

S Ahmed, S Jahan, KJ Ansari, K Shah, T Abdeljawad - researchgate.net
In this paper, we present a wavelet collocation method for efficiently solving singularly
perturbed differential–difference equations (SPDDEs) and one-parameter singularly …