An efficient matrix approach for the numerical solutions of electromagnetic wave model based on fractional partial derivative
DOI10.1016/j.apnum.2021.06.007zbMath1486.65173OpenAlexW3173382984MaRDI QIDQ2048414
Vijay Kumar Patel, Dhirendra Bahuguna
Publication date: 5 August 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2021.06.007
Caputo's fractional derivativeoperational matrixKronecker multiplicationBernoulli waveletsHermite wavelets
Fractional derivatives and integrals (26A33) Numerical methods for wavelets (65T60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)
Uses Software
Cites Work
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- Preconditioned iterative methods for fractional diffusion equation
- Two-dimensional wavelets collocation method for electromagnetic waves in dielectric media
- Stokes' first problem for a viscoelastic fluid with the generalized Oldroyd-B model
- A numerical investigation of time-fractional modified Fornberg-Whitham equation for analyzing the behavior of water waves
- Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method
- A new Bernoulli matrix method for solving second order linear partial differential equations with the convergence analysis
- Numerical solutions for fractional reaction-diffusion equations
- Fractional calculus models of complex dynamics in biological tissues
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- Fractional integro-differential equations for electromagnetic waves in dielectric media
- Fractional differential equations in electrochemistry
- The fundamental solutions for the fractional diffusion-wave equation
- Numerical solution of the space fractional Fokker-Planck equation.
- Bernoulli wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
- Computational implementation of the inverse continuous wavelet transform without a requirement of the admissibility condition
- Operational matrix approach for solution of integro-differential equations arising in theory of anomalous relaxation processes in vicinity of singular point
- Two dimensional wavelets collocation scheme for linear and nonlinear Volterra weakly singular partial integro-differential equations
- Numerical solution of the time fractional Black-Scholes model governing European options
- Multistep schemes for one and two dimensional electromagnetic wave models based on fractional derivative approximation
- Wavelet approximation scheme for distributed order fractional differential equations
- Efficient numerical algorithms for Riesz-space fractional partial differential equations based on finite difference/operational matrix
- Stability and convergence of multistep schemes for 1D and 2D fractional model with nonlinear source term
- Fractional-order general Lagrange scaling functions and their applications
- Two-dimensional Müntz-Legendre hybrid functions: theory and applications for solving fractional-order partial differential equations
- Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term
- Finite difference methods for two-dimensional fractional dispersion equation
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation
- Continuous and Discrete Wavelet Transforms
- Two‐dimensional shifted Legendre polynomial collocation method for electromagnetic waves in dielectric media via almost operational matrices
- Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation
- Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
- Multilevel methods for nonuniformly elliptic operators and fractional diffusion
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