Home
→
Faculty of Applied Science
→
Browsing Faculty of Applied Science by Author

Browsing Faculty of Applied Science by Author "Thilaganathan, S."

Now showing items 1-5 of 5

A Combined Error Control with Forward Euler Method for Dynamical Systems

Vigneswaran, R.; Thilaganathan, S. (World Academy of Science, Engineering and Technology, 2016-05-12)

Variable time-stepping algorithms for solving dynamical systems performed poorly for long time computations which pass close to a fixed point. To overcome this difficulty, several authors considered phase space error ...
Limitations on numerical iterative solution of elliptic two dimensional partial differential equations

Wijesuriya, W.M.R.M.; Thilaganathan, S. (Faculty of Applied Science, 2020-12-02)

Numerical iterative methods are applied for the solution of two dimensional Elliptic partial differential equations such as Laplace’s and Poisson’s equations. These kinds of differential equations have specific applications ...
Phase space error control with variable time-stepping algorithms applied to the forward Euler method for autonomous dynamical systems

Vigneswaran, R.; Thilaganathan, S. (Advances in mathematical sciences, knowvel, 2019-03-31)

We consider a phase space stability error control for numerical simulation of dynamical systems. Standard adaptive algorithm used to solve the linear systems perform well during the finite time of integration with fixed ...
Phase Space Error Control with Variable Time-Stepping Algorithms applied to the Forward Euler method for Dynamical Systems

Thilaganathan, S.; Vigneswaran, R. (University of Jaffna, 2016-08-12)

We consider a phase space stability error control for numerical simulation of dynamical systems. Tony Humphries and Vigneswaran, R., in “Phase space stability error control with variable time-stepping Runge-Kutta methods ...
Phase space theta error control with general explicit Runge-Kutta methods for dynamical systems

Thilaganathan, S.; Vigneswaran, R.; Samarathunga, D.M. (PGIS, 2019-10-11)

Variable time-stepping algorithms are often used to solve the dynamical systems, defined by autonomous initial value ordinary differential equations =f, y(0)=y0 m, where f : is a Lipschitz continuous function. Standard ...

Browsing Faculty of Applied Science by Author "Thilaganathan, S."

Browsing Faculty of Applied Science by Author "Thilaganathan, S."

Search

Browse

All Collections

This Community

My Account