Simplified reproducing kernel method and convergence order for linear Volterra integral equations with variable coefficients

DOI10.1016/j.cam.2018.07.027zbMath1409.65115OpenAlexW2884733391MaRDI QIDQ1624657

Liangcai Mei, Ying-Zhen Lin

Publication date: 16 November 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.07.027

zbMATH Keywords

stability analysisVolterra integral equationsnumerical algorithmconvergence orderreproducing kernel direct space

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items (6)

The existence and uniqueness of solution for linear system of mixed Volterra-Fredholm integral equations in Banach space ⋮ Combining the reproducing kernel method with a practical technique to solve the system of nonlinear singularly perturbed boundary value problems ⋮ Multiscale orthonormal method for nonlinear system of BVPs ⋮ A new algorithm based on improved Legendre orthonormal basis for solving second-order BVPs ⋮ A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems ⋮ Superconvergent kernel functions approaches for the second kind Fredholm integral equations

Cites Work

• Unnamed Item
• Stability analysis of linear Volterra equations on time scales under bounded perturbations
• Numeric solution of Volterra integral equations of the first kind with discontinuous kernels
• A new Euler matrix method for solving systems of linear Volterra integral equations with variable coefficients
• Strong superconvergence of the Euler-Maruyama method for linear stochastic Volterra integral equations
• A collocation approach for solving systems of linear Volterra integral equations with variable coefficients
• Solving system of Volterra-Fredholm integral equations with Bernstein polynomials and hybrid Bernstein Block-Pulse functions
• The reproducing kernel method for solving the system of the linear Volterra integral equations with variable coefficients
• Numerical computational solution of the Volterra integral equations system of the second kind by using an expansion method
• Simplified reproducing kernel method for impulsive delay differential equations
• A new collocation approach for solving systems of high-order linear Volterra integro-differential equations with variable coefficients
• Bifurcation analysis for a nonlinear system of integro-differential equations modelling tumor-immune cells competition
• Multi-projection method for Volterra integral equations at the collocation points
• Convergence analysis of the multistep Legendre pseudo-spectral method for Volterra integral equations with vanishing delays
• New algorithm for a class of nonlinear integro-differential equations in the reproducing kernel space
• CONVERGENCE ORDER OF THE REPRODUCING KERNEL METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS

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