Abstract The simplified modified Camassa Holm (SMCH) equation is an essential nonlinear
model for classifying several wave phenomena in physical science. In this study, the new m+ …

In this paper, we develop a Haar wavelet-based reconstruction method to recover missing
data on an inaccessible part of the boundary from measured data on another accessible …

In this text, we presented the Nachaoui's iterative alternating method for solving the Cauchy
problem governed by the convection-diffusion equation. The method is an iterative algorithm …

Non-local fractional derivatives are generally more effective in mimicking real-world
phenomena and offer more precise representations of physical entities, such as the …

Noninvasive measurement of neurocortical potentials using electroencephalography (EEG)
is a valuable tool in neuroscience research and clinical practice. However, accurate …

In this paper, we present a novel method for solving an inverse problem that involves
determining an unknown defect D compactly contained in a simply-connected bounded …

In this paper, we develop a fourth-order compact finite difference method to numerically
solve a fourth-order parabolic differential equation that governs the transverse displacement …

In this work, we investigate an inverse source problem for determining the unknown source
term in one and two dimensional space of a linear elliptic equation. First, the inverse …

In this paper, we present a numerical based on Haar wavelets to solve an inverse Cauchy
problem governed by the Helmholtz equation. The problem involves reconstructing the …

In this paper, a class of nonlinear inverse boundary problem in the context of heat transfer is
considered. We consider a class of nonlinear inverse boundary problems in the context of …