Analysis of Reliable Solutions to the Boundary Value Problems by Using Shooting Method Article Swipe
Mohammad Asif Arefin
,
Mahmuda Akhter Nishu
,
Md Nayan Dhali
,
M. Hafiz Uddin
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1155/2022/2895023
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1155/2022/2895023
This research aims to use the shooting method (SM) to find numerical solutions to the boundary value problems of ordinary differential equations (ODEs). Applied mathematics, theoretical physics, engineering, control, and optimization theory all have two-point boundary value problems. If the two-point boundary value problem cannot be solved analytically, numerical approaches must be used. The scenario in the two-point boundary value issue for a single second-order differential equation with prescribed initial and final values of the solution gives rise to shooting method. Firstly, the method is discussed, and some boundary value problems of ODEs are solved by using the proposed method. Obtained results are compared with the exact solution for the validation of the proposed method and represented both in graphical and tabular form. It has been found that the convergence rate of the shooting method to the exact solution is so high. As a finding of this research, it has been determined that the shooting method produces the best-fit numerical results of boundary value problems.
Related Topics
Concepts
Shooting method
Boundary value problem
Ordinary differential equation
Ode
Mathematics
Boundary (topology)
Singular boundary method
Initial value problem
Convergence (economics)
Numerical analysis
Applied mathematics
Differential equation
Point (geometry)
Rate of convergence
Order of accuracy
Value (mathematics)
Mathematical analysis
Mathematical optimization
Computer science
Boundary element method
Numerical partial differential equations
Finite element method
Geometry
Physics
Statistics
Computer network
Economics
Channel (broadcasting)
Thermodynamics
Economic growth
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1155/2022/2895023
- https://downloads.hindawi.com/journals/mpe/2022/2895023.pdf
- OA Status
- hybrid
- Cited By
- 10
- References
- 23
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4290987686
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4290987686Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.1155/2022/2895023Digital Object Identifier
- Title
-
Analysis of Reliable Solutions to the Boundary Value Problems by Using Shooting MethodWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2022Year of publication
- Publication date
-
2022-08-10Full publication date if available
- Authors
-
Mohammad Asif Arefin, Mahmuda Akhter Nishu, Md Nayan Dhali, M. Hafiz UddinList of authors in order
- Landing page
-
https://doi.org/10.1155/2022/2895023Publisher landing page
- PDF URL
-
https://downloads.hindawi.com/journals/mpe/2022/2895023.pdfDirect link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
hybridOpen access status per OpenAlex
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https://downloads.hindawi.com/journals/mpe/2022/2895023.pdfDirect OA link when available
- Concepts
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Shooting method, Boundary value problem, Ordinary differential equation, Ode, Mathematics, Boundary (topology), Singular boundary method, Initial value problem, Convergence (economics), Numerical analysis, Applied mathematics, Differential equation, Point (geometry), Rate of convergence, Order of accuracy, Value (mathematics), Mathematical analysis, Mathematical optimization, Computer science, Boundary element method, Numerical partial differential equations, Finite element method, Geometry, Physics, Statistics, Computer network, Economics, Channel (broadcasting), Thermodynamics, Economic growthTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
10Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 1, 2024: 4, 2023: 5Per-year citation counts (last 5 years)
- References (count)
-
23Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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