Cover Image

Hybrid Radial Kernels for Solving Weakly Singular Fredholm Integral Equations: Balancing Accuracy and Stability in Meshless Methods

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Moazami, Davoud, Esmaeilbeigi, Mohsen, Akbari, Tahereh
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Solving Diffusion and Wave Equations Meshlessly via Helmholtz Equations
by: Johnson, Adam
Published: (2024)

A Comparison Between Meshless Radial Basis Function Collocation Method and Finite Element Method for Solving Poisson and Stokes Problems
by: Karakan, Ismet, et al.
Published: (2020)

A Data-Driven Approach to Solving First-Kind Fredholm Integral Equations and Their Convergence Analysis
by: Ling, Duan-Peng, et al.
Published: (2025)

A Hybrid Kernel-Free Boundary Integral Method with Operator Learning for Solving Parametric Partial Differential Equations In Complex Domains
by: Ling, Shuo, et al.
Published: (2024)

Exponentially Fitted Finite Difference Approximation for Singularly Perturbed Fredholm Integro-Differential Equation
by: Alam, Mehebub, et al.
Published: (2024)

Deep Neural Network Solutions for Oscillatory Fredholm Integral Equations
by: Jiang, Jie, et al.
Published: (2024)

Weak Random Feature Method for Solving Partial Differential Equations
by: Kuvakin, Mikhail, et al.
Published: (2025)

Hybrid Shifted Gegenbauer Integral-Pseudospectral Method for Solving Time-Fractional Benjamin-Bona-Mahony-Burgers Equation
by: Elgindy, Kareem T.
Published: (2025)

Stability Analysis of a Simple Discretization Method for a Class of Strongly Singular Integral Equations
by: Costabel, Martin, et al.
Published: (2023)

Stability and Accuracy of a Meshless Finite Difference Method for the Stokes Equations
by: Alexander Westermann, et al.
Published: (2025)

Stability and Convergence Analysis of an Exact Finite Difference Scheme for Fredholm Integro-Differential Equations
by: Alam, Mehebub, et al.
Published: (2024)

Fourier-Gegenbauer Integral-Galerkin Method for Solving the Advection-Diffusion Equation With Periodic Boundary Conditions
by: Elgindy, Kareem T.
Published: (2025)

Integral Equations with Hypersingular Kernels -- Theory and Applications to Fracture Mechanics
by: Chan, Youn-Sha, et al.
Published: (1999)

Solving Fredholm Integral Equations of the First Kind via Wasserstein Gradient Flows
by: Crucinio, Francesca R., et al.
Published: (2022)

Stabilization of the Gradient Method for Solving Linear Algebraic Systems -- A Method Related to the Normal Equation
by: Dione, Ibrahima
Published: (2025)

High Accuracy Method for Integral Equations with Discontinuous Kernels
by: Kang, Sheon-Young, et al.
Published: (1999)

Solving High-Dimensional Partial Integral Differential Equations: The Finite Expression Method
by: Hardwick, Gareth, et al.
Published: (2024)

Adaptive Multi-Grade Deep Learning for Highly Oscillatory Fredholm Integral Equations of the Second Kind
by: Jiang, Jie, et al.
Published: (2026)

Solving Convolution-type Integral Equations using Preconditioned Neural Operators
by: Chan, Raymond, et al.
Published: (2026)

Solving Maxwell's Equations with Mimetic Methods
by: Corbino, Johnny
Published: (2026)

Weak Galerkin Methods for the Brinkman Equations
by: Wang, Chunmei, et al.
Published: (2025)

Stochastic Simulation and Monte Carlo Method
by: Mirzaei, Davoud
Published: (2025)

Meshless interface tracking for the simulation of dendrite envelope growth
by: Jančič, Mitja, et al.
Published: (2023)

Solving Fredholm Integral Equations of the Second Kind via Wasserstein Gradient Flows
by: Crucinio, Francesca R., et al.
Published: (2024)

An Efficient Exponential Sum Approximation of Power-Law Kernels for Solving Fractional Differential Equation
by: Chaudhary, Renu, et al.
Published: (2025)

Generalized Finite Difference Method for Solving Stochastic Diffusion Equations
by: Mojarrad, Faezeh Nassajian
Published: (2024)

A Stochastic Method for Solving Time-Fractional Differential Equations
by: Guidotti, Nicolas L., et al.
Published: (2023)

An Integral Equation Method for Linear Two-Point Boundary Value Systems
by: Zhang, Tianze, et al.
Published: (2025)

Neural Evolutionary Kernel Method: A Knowledge-Guided Framework for Solving Evolutionary PDEs
by: Ling, Shuo, et al.
Published: (2026)

Meshless method stencil evaluation with machine learning
by: Rot, Miha, et al.
Published: (2022)

A Conservative Cascade Semi-Lagrangian Method for Solving the Vlasov Equation
by: Xu, Chunyang, et al.
Published: (2025)

An Unsupervised Network Architecture Search Method for Solving Partial Differential Equations
by: Li, Qing, et al.
Published: (2025)

Bound-Preserving Flux-Corrected Transport Methods for Solving Richards' Equation
by: Barua, Arnob, et al.
Published: (2026)

A CUR Krylov Solver for Large-Scale Linear Matrix Equations
by: Akbari, Saeed, et al.
Published: (2025)

Superconvergence Extraction of Upwind Discontinuous Galerkin Method Solving the Radiative Transfer Equation
by: Galindo-Olarte, Andres, et al.
Published: (2025)

Adaptive Ch Method with Local Coupled Multiquadrics for Solving Partial Differential Equations
by: Seleit, Ahmed E.
Published: (2025)

A New Fast Direct Method For Solving Quasi-Toeplitz System of Equations
by: Hasanbeigi, Shahin
Published: (2024)

Wavelet-based Edge Multiscale Finite Element Methods for Singularly Perturbed Convection-Diffusion Equations
by: Fu, Shubin, et al.
Published: (2023)

Numerical Solution of Initial Value Problems
by: Mirzaei, Davoud
Published: (2024)

Numerical Linear Algebra: Least Squares, QR and SVD
by: Mirzaei, Davoud
Published: (2024)