Hypergeometric Function: A classical special function that generalises to many complex problems; it appears as a solution to the hypergeometric differential equation.

Heun Functions and Differential Equations Publication Trend The graph below shows the total number of publications each year in Heun Functions and Differential Equations.

A class of boundary condition and the general case were considered. According to the sign of coefficient functions of the fuzzy linear differential equation, the corresponding function systems of ...

Given a multi-dimensional Itô process whose drift and diffusion terms are adapted processes, we construct a weak solution to a stochastic differential equation that matches the distribution of the Itô ...

The differential equation by Terzaghi and Fr?hlich, better known as Terzaghi’s one-dimensional consolidation equation, simulates the visco-elastic behaviour of soils depending on the loads applied as ...

Special cases include the Black–Scholes equation and the Hamilton–Jacobi–Bellman equation. To do so, we make use of the reformulation of these PDEs as backward stochastic differential equations (BSDEs ...

The application of radial basis function networks for approximating functions and solving partial differential equations has investigated. Fast gradient first-order methods and an algorithm of the ...

A new definition of a guiding function for functional differential equations is given, which is sometimes better for applications than the known one by Mawhin. We then prove an existence result for ...

A novel, robust, and computationally efficient approach is proposed for the evaluation of the Michalski–Zheng’s mixed-potential Green’s functions of general shielded layered media. A high-order ...