The refinement-schemes-based unified algorithms for certain nth order linear and nonlinear differential equations with a set of constraints

Advances in Difference Equations

Dumitru Baleanu¹  Yu-Ming Chu²  Syeda Tehmina Ejaz³  Ghulam Mustafa⁴ 

[1] Department of Mathematics, Cankaya University, 06530, Ankara, Turkey;Institute of Space Sciences, 077125, Magurele-Bucharest, Romania;Department of Mathematics, Huzhou University, 313000, Huzhou, P.R. China;Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, 410114, Changsha, P.R. China;Department of Mathematics, The Government Sadiq College Women University Bahawalpur, Bahawalpur, Pakistan;Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan;

关键词: Differential equation;    Constraints;    Boundary value problems;    Algorithm;    Refinement schemes;    Interpolation;    65L10;    65L99;    65D07;    65M70;    65G50;   

DOI  :  10.1186/s13662-021-03283-2

来源: Springer

【 摘 要 】

We first present a generalized class of binary interpolating refinement schemes and their properties. Then the refinement-schemes-based unified algorithms for the solution of certain nth order linear and nonlinear differential equations with a set of constraints are presented. Moreover, several algorithms based on the refinement schemes for solving differential equations are the special cases of our algorithms.

【 授权许可】

CC BY