Convergence theorem for the Haar wavelet based discretization method
The accuracy issues of Haar wavelet method are studied. The order of convergence as well
as error bound of the Haar wavelet method is derived for general n th order ODE. The …
as error bound of the Haar wavelet method is derived for general n th order ODE. The …
[HTML][HTML] On the accuracy of the Haar wavelet discretization method
Current study contains adaption of Haar wavelet discretization method (HWDM) for FG
beams and its accuracy estimates. The convergence analysis is performed for differential …
beams and its accuracy estimates. The convergence analysis is performed for differential …
An efficient analysis for N-soliton, Lump and lump–kink solutions of time-fractional (2+ 1)-Kadomtsev–Petviashvili equation
Solutions of the nonlinear physical problems are significant and a vital topic in real life while
the soliton based algorithms are promising techniques to analyze the solutions of various …
the soliton based algorithms are promising techniques to analyze the solutions of various …
An efficient algorithm based on Gegenbauer wavelets for the solutions of variable-order fractional differential equations
The article is devoted to a new computational algorithm based on the Gegenbauer wavelets
(GWs) to solve the linear and nonlinear variable-order fractional differential equations. The …
(GWs) to solve the linear and nonlinear variable-order fractional differential equations. The …
[PDF][PDF] Haar wavelet method for vibration analysis of nanobeams
M Kirs, M Mikola, A Haavajõe, E Õunapuu… - Waves, Wavelets and …, 2016 - researchgate.net
In the current study the Haar wavelet method is adopted for free vibration analysis of
nanobeams. The size-dependent behavior of the nanobeams, occurring in nanostructures …
nanobeams. The size-dependent behavior of the nanobeams, occurring in nanostructures …
Solution of fractional order differential equation by the Haar wavelet method. Numerical convergence analysis for most commonly used approach
The Haar wavelet method is applied for solution of fractional order differential equations.
Numerical convergence analysis is performed for most commonly used wavelet expansion …
Numerical convergence analysis is performed for most commonly used wavelet expansion …
Operational-matrix-based algorithm for differential equations of fractional order with Dirichlet boundary conditions
The fractional differential equations (FDEs) are ground-breaking tools to demonstrate the
complex-nature scientific systems in the form of non-linear behavior endorsed by the …
complex-nature scientific systems in the form of non-linear behavior endorsed by the …
Modified Legendre wavelets technique for fractional oscillation equations
ST Mohyud-Din, M Asad Iqbal, SM Hassan - Entropy, 2015 - mdpi.com
Physical Phenomena's located around us are primarily nonlinear in nature and their
solutions are of highest significance for scientists and engineers. In order to have a better …
solutions are of highest significance for scientists and engineers. In order to have a better …
Modified wavelets–based algorithm for nonlinear delay differential equations of fractional order
M Asad Iqbal, M Shakeel… - Advances in …, 2017 - journals.sagepub.com
Most of the physical phenomena located around us are nonlinear in nature and their
solutions are of great significance for scientists and engineers. In order to have a better …
solutions are of great significance for scientists and engineers. In order to have a better …
[PDF][PDF] Free vibration analysis of a functionally graded material beam: evaluation of the Haar wavelet method
The current study focuses on the evaluation of the Haar wavelet method, ie its comparison
with widely used strong formulation based methods (FDM-finite difference method and DQM …
with widely used strong formulation based methods (FDM-finite difference method and DQM …