In this research work, a finite-difference and Haar wavelet hybrid collocation scheme is
introduced for the ill-posed non-linear inverse Cauchy problem with a source depending on …

In this paper a numerical approach combining the least squares method and the genetic
algorithm (sequential and multi-core parallelization approach) is proposed for the …

In this discussion, a new numerical algorithm focused on the Haar wavelet is used to solve
linear and nonlinear inverse problems with unknown heat source. The heat source is …

In this study, we use the explicit difference method and also the combination of the explicit
difference method with the implicit method to numerically solve the third order of Korteweg …

In this paper, a numerical method is proposed for the numerical solution of the coupled
nonlinear reaction–diffusion equations with suitable initial and boundary conditions by using …

In this paper, two numerical techniques are presented to solve the nonlinear inverse
generalized Benjamin–Bona–Mahony–Burgers equation using noisy data. These two …

In this paper, a numerical method to solving the one-dimensional inverse heat transfer
problem in Cartesian and Cylindrical coordinates, which is combination of the Haar wavelet …

In this paper, we discuss a numerical method for solving an inverse Rosenau equation with
Dirichlet's boundary conditions. The approach used is based on collocation of a quintic B …

This paper proposes a new regularization technique using spectral graph wavelet for
backward heat conduction problem (BHCP) on the graph. The method uses the fourth-order …

In this paper, two numerical methods are presented to solve an ill-posed inverse problem for
Fisher's equation using noisy data. These two methods are the Haar basis and the Legendre …