Results 261 to 270 of about 140,110 (288)

Solution of certain weakly singular integral equations

IMA Journal of Applied Mathematics, 2006
Direct function theoretic methods are developed to handle two weakly singular integral equations with their kernels having logarithmic singularity. The present methods avoid the occurrence of higher-order (or strong) singularities, like the Cauchy type singularity in the representation of the solutions of such integral equations.
openaire   +1 more source

Theoretical prospects of fractional order weakly singular Volterra Integro differential equations and their approximations with convergence analysis

Mathematical Methods in the Applied Sciences, 2021
Pratibhamoy Das, Subrata Rana
exaly  

Cubic spline approximation for weakly singular models

2013
In this paper we propose a numerical collocation method to approximate the solution of linear integral mixed Volterra- Fredholm equations of the second kind, with particular weakly singular kernels. The collocation method is based on the class of quasi-interpolatory splines on locally uniform mesh.
CALIO', FRANCA, MARCHETTI, ELENA MARIA
openaire   +1 more source

Weakly singular Gronwall inequalities and applications to fractional differential equations

Journal of Mathematical Analysis and Applications, 2019
Jeffrey Webb
exaly  

Some identities for fundamental solutions and their applications to weakly-singular boundary element formulations

Engineering Analysis With Boundary Elements, 1991
Yijun Liu
exaly  

A novel Jacob spectral method for multi-dimensional weakly singular nonlinear Volterra integral equations with nonsmooth solutions

Engineering With Computers, 2020
Mahmoud A Zaky
exaly  

A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels

SIAM Journal on Numerical Analysis, 2003
Yanzhao Cao, Yuesheng Xu
exaly  

Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels

SIAM Journal on Numerical Analysis, 2001
Hermann Brunner, Arvet A Pedas
exaly  

A second-order accurate numerical method with graded meshes for an evolution equation with a weakly singular kernel

Journal of Computational and Applied Mathematics, 2019
Hongbin Chen, Da Xu, Jun Zhou
exaly  

Analysis for T-stress of cracks in 3D anisotropic elastic media by weakly singular integral equation method

Computer Methods in Applied Mechanics and Engineering, 2019
Jaroon Rungamornrat
exaly