COMPUTATIONAL & APPLIED MATHEMATICS, vol.37, no.5, pp.5951-5964, 2018 (SCI-Expanded)
Article / Article
COMPUTATIONAL & APPLIED MATHEMATICS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Caputo derivative, Cahn-Allen equation, Reproducing kernel method, Convergence, 35R11, 46E22
Van Yüzüncü Yıl University Affiliated:
In this article, we construct a novel iterative approach that depends on reproducing kernel method for Cahn-Allen equation with Caputo derivative. Representation of solution and convergence analysis are presented theoretically. Numerical results are given as tables and graphics with intent to show efficiency and power of method. The results demonstrate that approximate solution uniformly converges to exact solution for Cahn-Allen equation with fractional derivative.