Computational technique for multi-dimensional non-linear weakly singular fractional integro-differential equation
DOI10.1016/J.CJPH.2022.04.015WikidataQ114197326 ScholiaQ114197326MaRDI QIDQ6497436
Somveer Singh, Nikhil Srivastava, Aman Singh, Vineet Kumar Singh
Publication date: 6 May 2024
Published in: Chinese Journal of Physics (Taipei) (Search for Journal in Brave)
convergence analysiserror estimationCaputo derivativeshifted Legendre polynomialsinterpolating basis functionnonlinear weakly singular integro-fractional differential equations
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for integral equations, integral transforms (65Rxx) Integro-partial differential equations (45Kxx)
Cites Work
- Unnamed Item
- Unnamed Item
- A collocation method based on the Bernoulli operational matrix for solving high-order linear complex differential equations in a rectangular domain
- Spatial rotation of the fractional derivative in two-dimensional space
- Numerical solution for the weakly singular Fredholm integro-differential equations using Legendre multiwavelets
- On the discretization in time for a parabolic integrodifferential equation with a weakly singular kernel. II: Nonsmooth initial data
- Time discretization via Laplace transformation of an integro-differential equation of parabolic type
- Superconvergence of collocation methods for a class of weakly singular Volterra integral equations
- A new operational matrix for solving fractional-order differential equations
- Fractional integro-differential equations for electromagnetic waves in dielectric media
- Derivative error bounds for Lagrange interpolation: An extension of Cauchy's bound for the error of Lagrange interpolation
- A finite difference scheme for partial integro-differential equations with a weakly singular kernel
- A new approach to the numerical solution of weakly singular Volterra integral equations.
- Application of Bernoulli matrix method for solving two-dimensional hyperbolic telegraph equations with Dirichlet boundary conditions
- Operational matrix approach for the solution of partial integro-differential equation
- A new matrix method for solving two-dimensional time-dependent diffusion equations with Dirichlet boundary conditions
- Numerical solution of nonlinear weakly singular partial integro-differential equation via operational matrices
- Numerical solution of nonlinear integral equations using alternative Legendre polynomials
- 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 a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials
- A multi-domain spectral collocation method for Volterra integral equations with a weakly singular kernel
- Stable numerical schemes for time-fractional diffusion equation with generalized memory kernel
- On the mixed nonlinear integro-differential equations with weakly singular kernel
- Numerical solution for generalized nonlinear fractional integro-differential equations with linear functional arguments using Chebyshev series
- Solutions for a category of singular nonlinear fractional differential equations subject to integral boundary conditions
- Caputo derivatives of fractional variable order: numerical approximations
- Runge-Kutta convolution quadrature methods with convergence and stability analysis for nonlinear singular fractional integro-differential equations
- Wavelet approximation scheme for distributed order fractional differential equations
- Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel
- Efficient numerical algorithms for Riesz-space fractional partial differential equations based on finite difference/operational matrix
- Alternative Legendre polynomials method for nonlinear fractional integro-differential equations with weakly singular kernel
- High accurate convergent spectral Galerkin methods for nonlinear weakly singular Volterra integro-differential equations
- An efficient and stable Lagrangian matrix approach to Abel integral and integro-differential equations
- Space-time spectral method for a weakly singular parabolic partial integro-differential equation on irregular domains
- Numerical solution of Volterra integral and integro-differential equations of convolution type by using operational matrices of piecewise constant orthogonal functions
- Computational approach based on wavelets for financial mathematical model governed by distributed order fractional differential equation
- Solution of a partial integro-differential equation arising from viscoelasticity
- A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
- Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term
- Orthogonal Spline Collocation Methods for Some Partial Integrodifferential Equations
- Finite Element Approximation of a Parabolic Integro-Differential Equation with a Weakly Singular Kernel
- Spline Collocation Methods for a Class of Hyperbolic Partial Integro-Differential Equations
- Convergence rate of collocation method based on wavelet for nonlinear weakly singular partial integro‐differential equation arising from viscoelasticity
- Two‐dimensional shifted Legendre polynomial collocation method for electromagnetic waves in dielectric media via almost operational matrices
- Vertical dispersion of light inertial particles in stably stratified turbulence: The influence of the Basset force
- From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion
This page was built for publication: Computational technique for multi-dimensional non-linear weakly singular fractional integro-differential equation