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Analytical Solution of First Kind Volterra Integro-Differential Equation Using Sadik Transform

Author

Listed:
  • Sudhanshu Aggarwal

    (Assistant Professor, Department of Mathematics, National P.G. College, Barhalganj, Gorakhpur-273402, U.P., India)

  • Aakansha Vyas

    (Assistant Professor, Noida Institute of Engineering & Technology, Greater Noida-201306, U.P., India)

  • Swarg Deep Sharma

    (Assistant Professor, Department of Mathematics, Nand Lal Singh College Jaitpur Daudpur Constituent of Jai Prakash University Chhapra-841205, Bihar, India)

Abstract

Volterra integro-differential equation generally appears when an initial value problem is to be converted into an integral equation. In this paper, authors determined the analytical solution of first kind Volterra integro-differential equation using Sadik transform. In this work, authors have considered that the kernel of first kind Volterra integro-differential equation is a convolution type kernel. Some numerical problems have been considered and solved with the help of Sadik transform for explaining the complete methodology. Results of numerical problems show that Sadik transform is very effective integral transform for determining the analytical solution of first kind Volterra integro-differential equation.

Suggested Citation

  • Sudhanshu Aggarwal & Aakansha Vyas & Swarg Deep Sharma, 2020. "Analytical Solution of First Kind Volterra Integro-Differential Equation Using Sadik Transform," International Journal of Research and Innovation in Applied Science, International Journal of Research and Innovation in Applied Science (IJRIAS), vol. 5(8), pages 73-80, August.
    • Handle: RePEc:bjf:journl:v:5:y:2020:i:8:p:73-80
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