Solving Simple Hormonic Problems Using Adomian Decomposition Method

Authors

  • Irfan Ul Haq School of Studies in Mathematics Vikram University, Ujjain, Maharashtra, India Author
  • Sandeep Kumar Tiwari School of Studies in Mathematics Vikram University, Ujjain, Maharashtra, India Author
  • Pradeep Porwal School of Studies in Mathematics Vikram University, Ujjain, Maharashtra, India Author
  • Naveed Ul Haq School of Studies in Mathematics Vikram University, Ujjain, Maharashtra, India Author

DOI:

https://doi.org/10.32628/IJSRSET241145

Keywords:

Adomian Decomposition Method, Simple Harmonic Equations, Differential Equations

Abstract

In this research paper, we propose classical numerical technique for solving some simple harmonic problems arising in some applications of science. Adomian decomposition method (ADM) are used. Some numerical examples have been solved to illustrate the accuracy and efficiency of this numerical method.

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References

Qasim, A. F., Al- Rawi, E.S. (2018) “Adomian Decomposition Method with Modified Bernstein Polynomials for Solving Ordinary and Partial Differential Equations”. Journal of Applied Mathematics, 2018, pp.1-9. DOI: https://doi.org/10.1155/2018/1803107

Shiralashetti. S. C, Mundewadi. R. A, Naregal. S. S., Veeresh. B (2017) “Haar Wavelet Collocation Method for the Numerical Solution of Nonlinear Volterra- Fredholm-Hammerstein Integral Equations”. Global Journal of Pure and AppliedMathematics, 13(2), pp. 463-474.

Ramesh. T., Sivasangeetha. N. (2017) “Adomain Decomposition Method for Initial Value Problem”. International Journal of Scientific Research in Science, Engineering and Technology (ijsrset.com) (3)6: Volume l3, pp.523-525.

Kaliyappan.M., Hariharan. S.(2019) “Solving Nonlinear Differential Equations using Adomian Decomposition Method through Sagemath”. International Journal of Innovative Technology and Exploring Engineering, 8(6), pp.510-515.

Vahidi.A.R and Mokhtari.M (2008)“Adomian Decomposition Method for System of Linear Fredholm Integral Equations of the Second Kind” Applied Mathematical Sciences, Volume 2,pp. 57 - 62.

Mustafa, I. (2005) “Numerical Solution of One Dimensional Nonlinear Burgers Equation and Convergence of Decomposition Method”.Appl. Math. Comput., 170,pp.76-85. DOI: https://doi.org/10.1016/j.amc.2004.10.069

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Published

19-07-2024

Issue

Section

Research Articles

How to Cite

[1]
Irfan Ul Haq, Sandeep Kumar Tiwari, Pradeep Porwal, and Naveed Ul Haq, “Solving Simple Hormonic Problems Using Adomian Decomposition Method ”, Int J Sci Res Sci Eng Technol, vol. 11, no. 4, pp. 66–70, Jul. 2024, doi: 10.32628/IJSRSET241145.

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