Journal ArticleDOI
Jacobi spectral galerkin methods for a class of nonlinear weakly singular volterra integral equations
About:
This article is published in Advances in Applied Mathematics and Mechanics.The article was published on 2021-06-01. It has received 2 citations till now. The article focuses on the topics: Volterra integral equation & Nonlinear system.read more
Citations
More filters
Journal ArticleDOI
Piecewise Spectral Collocation Method for Second Order Volterra Integro-Differential Equations with Nonvanishing Delay
TL;DR: In this article , a piecewise spectral-collocation method is used to solve the second-order Volterra integral differential equation with nonvanishing delay, and the convergence of the spectral collocation method in the sense of the L ∞ and L 2 norm is proved by the Dirichlet formula.
Journal ArticleDOI
A numerical algorithm for a class of nonlinear fractional Volterra integral equations via modified hat functions
Jafar Biazar,H. Ebrahimi +1 more
TL;DR: In this paper , a numerical algorithm via modified hat functions (MHFs) has been proposed to solve a class of non-linear fractional Volterra integral equations of the second kind.
References
More filters
Journal Article
On spectral methods for volterra integral equations and the convergence analysis
TL;DR: In this article, a spectral approach was proposed to solve the Volterra integral equations of the second kind, and a rigorous error analysis for the proposed method was provided, which indicated that the numerical errors decay exponentially provided that the kernel function and the source function are sufficiently smooth.
Book
Spectral Computations for Bounded Operators
TL;DR: In this paper, the authors propose a framework for convergence of operators based on the convergence of a sequence of subspaces and Inverse Iteration Error Analysis (IIA).
Journal ArticleDOI
Heat transfer between solids and gases under nonlinear boundary conditions
W. Robert Mann,František Wolf +1 more
Journal ArticleDOI
Spectral methods for weakly singular Volterra integral equations with smooth solutions
Yanping Chen,Tao Tang +1 more
TL;DR: A rigorous error analysis is provided for the proposed spectral Jacobi-collocation approximation for the linear Volterra integral equations (VIEs) of the second kind with weakly singular kernels, which shows that the numerical errors decay exponentially in the infinity norm and weighted Sobolev space norms.
Journal ArticleDOI
On Chemical Surface Reactions in Laminar Boundary Layer Flows
Paul L. Chambré,Andreas Acrivos +1 more
TL;DR: In this paper, the progress of an isothermal chemical reaction on a catalytic surface, which is located in a laminar hydrodynamic flow field of large Reynolds number, is analyzed.
Related Papers (5)
Generalized Jacobi Spectral-Galerkin Method for Nonlinear Volterra Integral Equations with Weakly Singular Kernels
Jacobi spectral Galerkin and iterated methods for nonlinear Volterra integral equation
Yin Yang,Yanping Chen +1 more
Spectral methods for weakly singular Volterra integral equations with pantograph delays
Ran Zhang,Benxi Zhu,Hehu Xie +2 more