Difference equations, serving as the discrete analogue to differential equations, have long been a linchpin in the study of dynamic systems. These equations define sequences recursively, and their ...

Delay differential equations (DDEs) extend classical ordinary differential equations by incorporating dependencies on past states. This inclusion of time delays is critical for accurately modelling ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

MATH 234, 240, and 250 or GEN ENG 205-4 or GEN ENG 206-4; PHYSICS 135-1,2 or equivalent; familiarity with a programming language; or consent of instructor. Advanced techniques for initial value ...