Journal of King Saud University-Science ( IF 3.7 ) Pub Date : 2021-09-13 , DOI: 10.1016/j.jksus.2021.101604 Fuzhang Wang 1, 2, 3 , Imtiaz Ahmad 4 , Hijaz Ahmad 5, 6 , M.D. Alsulami 7 , K.S. Alimgeer 8 , Clemente Cesarano 5 , Taher A. Nofal 9
The applications of fractional partial differential equations (PDEs) in diverse disciplines of science and technology have caught the attention of many researchers. This article concerned with the approximate numerical solutions of three-dimensional two- and three-term time fractional PDE models utilizing an accurate, and computationally attractive local meshless technique. Due to their tremendous advantages like ease of applicability in higher dimensions in both regular and irregular domains, the interest in meshless techniques is increasing. Test problems are considered to assess the reliability and accuracy of the proposed technique.
中文翻译:
基于RBFs的无网格方法求解工程现象中出现的三维多项时间分数阶偏微分方程
分数阶偏微分方程 (PDE) 在不同科学和技术学科中的应用引起了许多研究人员的关注。本文涉及使用精确且具有计算吸引力的局部无网格技术的三维二维和三项时间分数 PDE 模型的近似数值解。由于它们的巨大优势,例如在规则和不规则域的更高维度中易于应用,对无网格技术的兴趣正在增加。考虑测试问题来评估所提出技术的可靠性和准确性。