3 papers
math.NA2026
Fully discrete scheme for the fifth-order KdV-Burgers-Fisher equation using Strang splitting and Fourier collocation methods
Nurcan Gücüyenen Kaymak, Fatma Zürnacı-Yetiş, Muaz Seydaoğlu
Operator splitting is an effective technique for the numerical solution of nonlinear partial differential equations by decomposing a complex problem into simpler subproblems. In th…
math.NA2025
Non-polynomial divided difference and blossoming
Fatma Zürnacı-Yetiş
Two notable examples of dual functionals in approximation theory and computer-aided geometric design are the blossom and the divided difference operator. Both of these dual functio…
math.NA2025
-Trigonometric B-splines
Fatma Zürnacı-Yetiş, Ron Goldman, Plamen Simeonov
We introduce discrete analogues of the exponential, sine, and cosine functions. Then using a discrete trigonometric version of a non-polynomial divided difference, we define discre…