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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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
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spelling doaj-83acf44be8bd431cb373e0ef644cce8a2021-02-23T10:36:53ZengSpringerOpenAdvances in Difference Equations1687-18472021-02-012021111610.1186/s13662-021-03283-2The refinement-schemes-based unified algorithms for certain nth order linear and nonlinear differential equations with a set of constraintsSyeda Tehmina Ejaz0Ghulam Mustafa1Dumitru Baleanu2Yu-Ming Chu3Department of Mathematics, The Government Sadiq College Women University BahawalpurDepartment of Mathematics, The Islamia University of BahawalpurDepartment of Mathematics, Cankaya UniversityDepartment of Mathematics, Huzhou UniversityAbstract 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.https://doi.org/10.1186/s13662-021-03283-2Differential equationConstraintsBoundary value problemsAlgorithmRefinement schemesInterpolation
collection DOAJ
language English
format Article
sources DOAJ
author Syeda Tehmina Ejaz
Ghulam Mustafa
Dumitru Baleanu
Yu-Ming Chu
spellingShingle Syeda Tehmina Ejaz
Ghulam Mustafa
Dumitru Baleanu
Yu-Ming Chu
The refinement-schemes-based unified algorithms for certain nth order linear and nonlinear differential equations with a set of constraints
Advances in Difference Equations
Differential equation
Constraints
Boundary value problems
Algorithm
Refinement schemes
Interpolation
author_facet Syeda Tehmina Ejaz
Ghulam Mustafa
Dumitru Baleanu
Yu-Ming Chu
author_sort Syeda Tehmina Ejaz
title The refinement-schemes-based unified algorithms for certain nth order linear and nonlinear differential equations with a set of constraints
title_short The refinement-schemes-based unified algorithms for certain nth order linear and nonlinear differential equations with a set of constraints
title_full The refinement-schemes-based unified algorithms for certain nth order linear and nonlinear differential equations with a set of constraints
title_fullStr The refinement-schemes-based unified algorithms for certain nth order linear and nonlinear differential equations with a set of constraints
title_full_unstemmed The refinement-schemes-based unified algorithms for certain nth order linear and nonlinear differential equations with a set of constraints
title_sort refinement-schemes-based unified algorithms for certain nth order linear and nonlinear differential equations with a set of constraints
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2021-02-01
description 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.
topic Differential equation
Constraints
Boundary value problems
Algorithm
Refinement schemes
Interpolation
url https://doi.org/10.1186/s13662-021-03283-2
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