In this paper, we consider an orthogonal spline collocation (OSC) method to solve the fourth-
order multi-term subdiffusion equation. The L1 method on graded meshes is employed in …

In this paper, we study the orthogonal Gauss collocation method (OGCM) with an arbitrary
polynomial degree for the numerical solution of a two-dimensional (2D) fourth-order …

This is an account of the history of numerical analysis of partial differential equations,
starting with the 1928 paper of Courant, Friedrichs, and Lewy, and proceeding with the …

We consider the Navier-Stokes equations of a viscous incompressible fluid, and we want to
see to what extent these solutions can be determined by a discrete set of nodal values of …

In this paper we shall analyze a new variational method for approximating the heat equation
using continuous finite elements in space and time. In the special case of linear elements in …

Spline collocation methods have evolved as valuable techniques for the solution of a broad
class of problems covering ordinary and partial differential equations, functional equations …

We propose and analyze a time-step** Crank-Nicolson (CN) alternating direction implicit
(ADI) scheme combined with an arbitrary-order orthogonal spline collocation (OSC) …

ABSTRACT A novel numerical technique is considered for the solution of a multi-term time-
fractional diffusion equation. The orthogonal spline collocation method is used for in space …

This paper provides an overview of the formulation, analysis and implementation of
orthogonal spline collocation (OSC), also known as spline collocation at Gauss points, for …

Continuous time collocation methods for Volterra-Fredholm integral equations Page 1 Numer.
Math. 56, 409-424 (1989) Numerische MathemalJk 9 1989 Continuous Time Collocation …