Weakly singular Volterra integral equation with combined logarithmic-power-law kernel: analytical and computational consideration
DOI10.1016/j.apnum.2023.11.006MaRDI QIDQ6131509
Poonam Yadav, Vineet Kumar Singh, Aman Singh, Eugene B. Postnikov
Publication date: 5 April 2024
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
convergence analysisstability analysiserror estimationcomputer algebra systemlogarithmic kernelshifted Legendre polynomialslinear weakly singular Volterra integral equation
Numerical methods for integral equations (65R20) Numerical methods for wavelets (65T60) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05)
Cites Work
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- On the Volterra \(\mu\)-functions and the M-Wright functions as kernels and eigenfunctions of Volterra type integral operators
- On Volterra functions and Ramanujan integrals
- The construction of operational matrix of fractional derivatives using B-spline functions
- On the fractional signals and systems
- A new operational matrix for solving fractional-order differential equations
- Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
- Spectral methods for weakly singular Volterra integral equations with smooth solutions
- Integral equations of the first kind of Sonine type
- Operational matrix approach for the solution of partial integro-differential equation
- Operational matrix approach for solution of integro-differential equations arising in theory of anomalous relaxation processes in vicinity of singular point
- Series representations of the Volterra function and the Fransén-Robinson constant
- An adapted integration method for Volterra integral equation of the second kind with weakly singular kernel
- The solution of the nonlinear mixed partial integro-differential equation via two-dimensional hybrid functions
- Wavelet approximation scheme for distributed order fractional differential equations
- Numerical solution of two-dimensional weakly singular Volterra integral equations with non-smooth solutions
- Two approximated techniques for solving of system of two-dimensional partial integral differential equations with weakly singular kernels
- A Nyström interpolant for some weakly singular linear Volterra integral equations
- A novel Legendre operational matrix for distributed order fractional differential equations
- An efficient and stable Lagrangian matrix approach to Abel integral and integro-differential equations
- Numerical solution of singular Volterra integral equations system of convolution type by using operational matrices
- Numerical solution of Volterra integral and integro-differential equations of convolution type by using operational matrices of piecewise constant orthogonal functions
- A new wavelet method for solving a class of nonlinear partial integro-differential equations with weakly singular kernels
- Volterra Integral Equations
- The Legendre wavelets operational matrix of integration
- Some Integrals of Gamma, Polygamma and Volterra Functions
- Walsh series analysis in optimal control
- The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations
- Some Integrals Involving Airy Functions and Volterra μ-Functions
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Numerical methods for stochastic Volterra integral equations with weakly singular kernels
- Controlled Singular Volterra Integral Equations and Pontryagin Maximum Principle
- The Convergence of Collocation Solutions in Continuous Piecewise Polynomial Spaces for Weakly Singular Volterra Integral Equations
- Analysis of fractional differential equations
- AN EFFECTIVE COMPUTATIONAL APPROACH BASED ON HERMITE WAVELET GALERKIN FOR SOLVING PARABOLIC VOLTERRA PARTIAL INTEGRO DIFFERENTIAL EQUATIONS AND ITS CONVERGENCE ANALYSIS
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