Results 31 to 40 of about 1,021 (186)
Scattering Calculations with Wavelets [PDF]
, 2002 We show that the use of wavelet bases for solving the momentum-space scattering integral equation leads to sparse matrices which can simplify the solution. Wavelet bases are applied to calculate the K-matrix for nucleon-nucleon scattering with the s-wave
Kessler, B. M. +2 more
core +2 more sources
A Computational Method for Nonlinear Fredholm Integro-Differential Equations Using Haar Wavelet Collocation Points [PDF]
Journal of Physics: Conference Series, 2021 Abstract Haar wavelet collocation points method is developed to the computational solution for nonlinear Fredholm integral and integro-differential equations on interval [0, tf ] using Leibnitz-Haar wavelet collocation points method. Essential principle is transmutation of the integral equation to equivalent higher order differential ...
Waleeda Swaidan, Haleema S. Ali
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Demonstratio Mathematica, 2023 In this research work, we proposed a Haar wavelet collocation method (HWCM) for the numerical solution of first- and second-order nonlinear hyperbolic equations. The time derivative in the governing equations is approximated by a finite difference.
Lei Weidong +4 more
doaj +1 more source
Computation, 2023 In this paper, we introduce a novel approach employing two-dimensional uniform and non-uniform Haar wavelet collocation methods to effectively solve the generalized Burgers–Huxley and Burgers–Fisher equations.
Narendra Kumar +2 more
doaj +1 more source
Haar wavelet collocation approach for the solution of fractional order COVID-19 model using Caputo derivative [PDF]
Alexandria Engineering Journal, 2020 Shah K +5 more
europepmc +1 more source
Mathematical Biosciences and Engineering, 2023 <abstract><p>This study explores the use of numerical simulations to model the spread of the Omicron variant of the SARS-CoV-2 virus using fractional-order COVID-19 models and Haar wavelet collocation methods. The fractional order COVID-19 model considers various factors that affect the virus's transmission, and the Haar wavelet collocation
Rahat Zarin +3 more
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Tamkang Journal of Mathematics, 2021 An efficient Haar wavelet collocation method is proposed for the numerical solution of singularly perturbed differential equations with delay and shift. Taylor series (upto the first order) is used to convert the problem with delay and shift into a new problem without the delay and shift and then solved by Haar wavelet collocation method, which ...
Akmal Raza, Arshad Khan
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Haar wavelet method for solution of distributed order time-fractional differential equations
Alexandria Engineering Journal, 2021 This manuscript is related to compute approximate solutions for a class of fractional distributed order differential equations (FDODEs). The corresponding derivative of fractional order is taken in Caputo sense.
Rohul Amin +5 more
doaj +1 more source
The solution of multi-scale partial differential equations using wavelets
, 1998 Wavelets are a powerful new mathematical tool which offers the possibility to treat in a natural way quantities characterized by several length scales.
Beylkin +10 more
core +1 more source
A boundary integral formalism for stochastic ray tracing in billiards [PDF]
, 2014 Determining the flow of rays or non-interacting particles driven by a force or velocity field is fundamental to modelling many physical processes. These include particle flows arising in fluid mechanics and ray flows arising in the geometrical optics ...
Cvitanović P. +4 more
core +3 more sources