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 ...

This rapidly evolving field extends classical discrete calculus by introducing non-integer, or fractional, orders of difference operators. Such an approach is particularly well suited to 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 ...