5 papers
Trigonometric-Interpolation Based Approach for Second-Order Volterra Integro-Differential Equations
Xiaorong Zou
The trigonometric interpolation has been recently applied to solve a second-order Fredholm integro-differentiable equation (FIDE). It achieves high accuracy with a moderate size of…
Trigonometric Interpolation Based Approach for Second Order Fredholm Integro-Differential Equations
Xiaorong Zou
A trigonometric interpolation algorithm for non-periodic functions has been recently proposed and applied to study general ordinary differential equation (ODE). This paper enhances…
Trigonometric Interpolation Based Approach for Second Order ODE with Mixed Boundary Conditions
Xiaorong Zou
This paper proposes a trigonometric interpolation-based approach (TIBA) to approximate solutions of mixed boundary value problems of second-order ODEs. TIBA leverages the analytic…
On Trigonometric Interpolation and Its Applications
Xiaorong Zou
In this paper, we propose a new trigonometric interpolation algorithm and establish relevant convergent properties. The method adjusts an existing trigonometric interpolation algor…
Trigonometric Interpolation Based Optimization for Second Order Non-Linear ODE with Mixed Boundary Conditions
Xiaorong Zou
In this paper, we propose a trigonometric-interpolation approach for solutions of second order nonlinear ODEs with mixed boundary conditions. The method interpolates secondary deri…