Wavelet analysis method for solving linear and nonlinear singular boundary value problems

Applications of certain operational matrices of Dejdumrong polynomials

“…Vast study areas in science have considered problems of the form (12) and (13) ranging from chemical to physical sciences in application to geophysics, reaction-diffusion processes, gas equilibrium amongst many others. As a result of the widespread areas of application of problems of the form under consideration, it is expedient to obtain the exact or an approximate solution for the problem and this has been explored by a good number of researchers.…”

First Chebyshev Wavelet in Numerical Solution and Signal Processing

“…The wavelets have many uses in the scientific and engineering fields where they perform many functions because they contain the expansion and contraction parameters that make up the mother wavelet [1]. Today, there are many works on wavelets methods for approximating the solution of the problems, such as Hermite wavelets method [2], third kind Chebyshev wavelets [3], Haar wavelets method [4], and Sin and Cos wavelets method [5], Several numerical methods have been proposed in the last years to solve (BVPs) which are based on orthogonal polynomials, also wavelets approach was used in several papers to solve (BVPs) [6]. Many of the works were processed using many signal wavelet such as Haar, Laguerre, db, etc [8][9][10][11].…”

“…The wavelets contain functions created from expansion and contraction parameters, d and f, and continuously expansion and contraction. The mother wavelet is created [6].…”

Application of modified wavelet and homotopy perturbation methods to nonlinear oscillation problems

“…Khudayarov and Turaev [23] developed the mathematical model of the problem of nonlinear oscillations of a viscoelastic pipeline conveying fluid. Nasab et al [24] solved the nonlinear singular boundary value problems.…”