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

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

Abstract 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, sev...

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Bibliographic Details
Main Authors: Syeda Tehmina Ejaz, Ghulam Mustafa, Dumitru Baleanu, Yu-Ming Chu
Format: Article
Language:English
Published: SpringerOpen 2021-02-01
Series:Advances in Difference Equations
Subjects:
Differential equation
Constraints
Boundary value problems
Algorithm
Refinement schemes
Interpolation
Online Access:https://doi.org/10.1186/s13662-021-03283-2
Description
Summary:Abstract 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.
ISSN:1687-1847

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