Novel Wavelet Approach for Solving Time or Space Fractional Klein-Gordon Problems

Bayrak M. A., Demir A., Erman S., Büyük A.

ICOLES 2023, Antalya, Türkiye, 2 - 05 Kasım 2023

  • Yayın Türü: Bildiri / Yayınlanmadı
  • Basıldığı Şehir: Antalya
  • Basıldığı Ülke: Türkiye
  • Kocaeli Üniversitesi Adresli: Evet

Özet

The primary goal of this study is to present Clique wavelets and collocation

points to obtain truncated solutions for time or space fractional Klein-

Gordon problems (TFKGP or SFKGP). Clique wavelets are developed by

using Clique polynomials on the interval [0, 1]. The convergency of the truncated

solutions reveals that the presented method is efficient and effective

for the fractional problems. Moreover, the presented illustrative examples

also support this conclusion. The main contribution of this research is that

Clique wavelets and collocation points are used together to solve fractional

initial value problem for the first time.