The study is intended to give a brief overview of recent papers on spectral methods in
different types of fluid flow especially nanofluid flow. The survey does not presume to be …

This paper presents an efficient numerical method for solving the initial and boundary value
problems of the Bratu-type. In the proposed method, the Taylor wavelets are introduced, for …

Characterizing complicated behavior from time series constitutes a fundamental problem of
continuing interest and it has attracted a great deal of attention from a wide variety of fields …

This article presents an efficient numerical method for solving fractional optimal control
problems (FOCPs) by utilizing the Hermite scaling function operational matrix of fractional …

Water wave propagation in an open channel network can be described by the viscous
Burgers' equation on the corresponding connected graph, possibly with small viscosity. In …

When performing data classification tasks, it often occurs to them the curse of dimensionality
problem. To address the issue, a manifold learning method termed locally conjugated …

This paper attempts to merge the concept of hierarchical finite element analysis (FEA) into
isogeometric analysis (IGA). The proposed methodology replaces the traditional grid …

In this article, we propose an adaptive spectral graph wavelet method to solve partial
differential equations on network-like structures using so-called spectral graph wavelets …

This paper displays an efficient numerical technique of realizing mathematical models for an
adiabatic tubular chemical reactor which forms an irreversible exothermic chemical reaction …

This paper proposes a fast curvelet based finite difference method for numerical solutions of
partial differential equations (PDEs). The method uses finite difference approximations for …