7 papers
An attractive analytic solution of the Maxwell's equation
Xiaorong Zou
In this paper, we aim to develop a closed-form solution of the standard Maxwell's equations that describe the propagation of electromagnetic waves in an isotropic homogeneous mediu…
On analytic solution of the Maxwell's equation with non-zero currents
Xiaorong Zou
An analytic solution has been recently developed for the Maxwell's equation in a medium with zero currents such as vacuum. The solution is attractive in the sense that it is formul…
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…