A Jacobi wavelet collocation method for fractional fisher's equation in time
Thermal Science, 2020 In this study, the Jacobi wavelet collocation method is studied to derive a solution of the time-fractional Fisher?s equation in Caputo sense. Jacobi wavelets can be considered as a generalization of the wavelets since the Gegenbauer, and thus also Chebyshev and Legendre polynomials are a special type of the Jacobi polynomials.
Secer, Aydin, Cinar, Melih
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Daubechies Wavelet Scaling Function Approach to Solve Volterra’s Population Model
International Journal of Mathematics and Mathematical Sciences, 2022 In this paper, we focus on a collocation approach based on Daubechies wavelet scaling functions for approximating the solution of Volterra’s model of population growth of a species with a closed system.
Amjad Alipanah +3 more
doaj +1 more source
Optimal B-spline bases for the numerical solution of fractional differential problems [PDF]
, 2018 Efficient numerical methods to solve fractional differential problems are particularly required in order to approximate accurately the nonlocal behavior of the fractional derivative.
Pitolli, Francesca
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Fibonacci Wavelet Collocation Method for Solving Dengue Fever SIR Model
MathematicsThe main focus in this manuscript is to find a numerical solution of a dengue fever disease model by using the Fibonacci wavelet method. The operational matrix of integration has been obtained using Fibonacci wavelets.
Amit Kumar, Ayub Khan, Abdullah Abdullah
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Un método Wavelet-Galerkin para ecuaciones diferenciales parciales parabólicas [PDF]
, 2014 In this paper an Adaptive Wavelet-Galerkin method for the solution ofparabolic partial differential equations modeling physical problems withdifferent spatial and temporal scales is developed.
Martín, María Teresa +1 more
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A Modified Algorithm Based on Haar Wavelets for the Numerical Simulation of Interface Models
Journal of Function Spaces, 2022 In this paper, a new numerical technique is proposed for the simulations of advection-diffusion-reaction type elliptic and parabolic interface models.
Gule Rana +6 more
doaj +1 more source
An adaptive multilevel wavelet collocation method for elliptic problems [PDF]
Journal of Computational Physics, 2005 Partial support for the first author (O.V. Vasilyev) was provided by the National Science Foundation (NSF) under grants No. EAR-0242591, EAR-0327269 and ACI-0242457 and National Aeronautics and Space Administration (NASA) under grant No. NAG-1-02116. This support is gratefully acknowledged. The second author (N.K.-R.
Vasilyev, Oleg V. +1 more
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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
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Wavelets operational methods for fractional differential equations and systems of fractional differential equations [PDF]
, 2017 In this thesis, new and effective operational methods based on polynomials and wavelets for the solutions of FDEs and systems of FDEs are developed.
A. H. Al-Bagawi, A. H. Al-Bagawi +8 more
core +2 more sources
AI in chemical engineering: From promise to practice
AIChE Journal, EarlyView.Abstract Artificial intelligence (AI) in chemical engineering has moved from promise to practice: physics‐aware (gray‐box) models are gaining traction, reinforcement learning complements model predictive control (MPC), and generative AI powers documentation, digitization, and safety workflows.
Jia Wei Chew +4 more
wiley +1 more source