Superconvergence of Volterra-Urysohn integral with weakly singular kernel by iterated Jacobi spectral multi Galerkin method

نویسندگان
Kant, Kapil ID 1

1 ABV-Indian Institute of Information Technology and Management, Gwalior, Madhya Pradesh, 474015, India

doi
10.22075/ijnaa.2023.27688.3680
چکیده

We propose the iterated Jacobi spectral multi Galerkin method for weakly singular Volterra integral equations of Urysohn type and obtain the superconvergence results in uniform norm. The convergence analysis is discussed in two cases: when the solution is sufficiently smooth and when it is not. To back up our theoretical approach, we present numerical findings.

کلیدواژه‌ها
Volterra integral equations, Weakly singular kernels, Jacobi polynomials, Iterated Jacobi Spectral multi-Galerkin method, Superconvergence results