Found 34 Documents (Results 1–34)
Fractional collocation method for third-kind Volterra integral equations with nonsmooth solutions. (English) Zbl 1516.65152
An efficient spectral method for solving third-kind Volterra integral equations with non-smooth solutions. (English) Zbl 1524.65687
Product integration method for treating a nonlinear Volterra integral equation with a weakly singular kernel. (English) Zbl 1486.65297
Solving the third-kind Volterra integral equation via the boundary value technique: Lagrange polynomial versus fractional interpolation. (English) Zbl 1510.65324
Iterative collocation method for solving a class of nonlinear weakly singular Volterra integral equations. (English) Zbl 1540.65555
An adapted integration method for Volterra integral equation of the second kind with weakly singular kernel. (English) Zbl 1490.65319
Mapped spectral collocation methods for Volterra integral equations with noncompact kernels. (English) Zbl 1472.65169
A sparse spectral method for Volterra integral equations using orthogonal polynomials on the triangle. (English) Zbl 1447.65171
Reviewer: Marius Ghergu (Dublin)
The Puiseux expansion and numerical integration to nonlinear weakly singular Volterra integral equations of the second kind. (English) Zbl 1437.65248
Reviewer: Alexander N. Tynda (Penza)
Error analysis of Jacobi spectral Galerkin and multi-Galerkin methods for weakly singular Volterra integral equations. (English) Zbl 1441.65126
Reviewer: Kai Diethelm (Schweinfurt)
Rigorous convergence analysis of Jacobi spectral Galerkin methods for Volterra integral equations with noncompact kernels. (English) Zbl 1436.45008
Reviewer: Josef Kofroň (Praha)
A new recursive formulation of the Tau method for solving linear Abel-Volterra integral equations and its application to fractional differential equations. (English) Zbl 1432.65202
Reviewer: Kai Diethelm (Schweinfurt)
Solution of nonlinear Volterra integral equations with weakly singular kernel by using the HOBW method. (English) Zbl 07073474
A novel variant of a product integration method and its relation to discrete fractional calculus. (English) Zbl 1357.65322
Smoothing transformation and spline collocation for weakly singular Volterra integro-differential equations. (English) Zbl 1357.65316
A product integration type method for solving nonlinear integral equations in \(L^{1}\). (English) Zbl 1357.65318
Numerical solutions of Volterra integral equation with weakly singular kernel using SCW method. (English) Zbl 1410.65513
Convergence analysis of spectral collocation methods for a class of weakly singular Volterra integral equations. (English) Zbl 1328.65274
Modified Euler’s method with a graded mesh for a class of Volterra integral equations with weakly singular kernel. (English) Zbl 1304.65272
Reviewer: Seenith Sivasundaram (Daytona Beach)
On graded meshes for weakly singular Volterra integral equations with oscillatory trigonometric kernels. (English) Zbl 1301.65135
Composite quadrature rules for a class of weakly singular Volterra integral equations with noncompact kernels. (English) Zbl 1291.65385
Numerical solutions of weakly singular Volterra integral equations using the optimal homotopy asymptotic method. (English) Zbl 1268.65166
A new approach to the numerical solution of Volterra integral equations by using Bernstein’s approximation. (English) Zbl 1221.65334
The exact solution of a class of Volterra integral equation with weakly singular kernel. (English) Zbl 1216.65182
A Nyström interpolant for some weakly singular linear Volterra integral equations. (English) Zbl 1184.65118
Reviewer: C. L. Parihar (Indore)
MSC:
65R20
Collocation and iterated collocation methods for a class of weakly singular Volterra integral equations. (English) Zbl 1168.65073
Reviewer: Hu Chuangan (San Jose)
Superconvergence of collocation methods for a class of weakly singular Volterra integral equations. (English) Zbl 1146.65084
Reviewer: I. V. Boikov (Penza)
Numerical methods for a Volterra integral equation with nonsmooth solutions. (English) Zbl 1092.65119
Reviewer: Pat Lumb (Chester)
Numerical solution of weakly singular linear Volterra integro-differential equations. (English) Zbl 1088.65114
Reviewer: I. V. Boikov (Penza)
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