Publications by authors named "Majeed A Yousif"
This research introduces novel concepts in sequence theory, including Bessel convergence, Bessel boundedness, Bessel statistical convergence, and Bessel statistical Cauchy sequences. These concepts establish new inclusion relations and related results within mathematical analysis. Additionally, we extend the first and second Korovkin-type approximation theorems by incorporating Bessel statistical convergence, providing a more robust and comprehensive framework than existing results.
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- This research introduces a new method called the conformable-Caputo fractional non-polynomial spline method to solve the time-fractional Korteweg-de Vries (KdV) equation.
- The study focuses on improving numerical accuracy and algorithm development, showing that the method is unconditionally stable through Von Neumann analysis.
- Results from comparisons using graphs and error norms (L2 and L∞) indicate that this new method is more accurate and efficient than previous methods, positioning it as a significant advancement in solving the time-fractional KdV equation.