Estimating the Approximate Solutions of the Fornberg-Whitham and Oskolkov-Benjamin-Bona-Mahony Equations


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Authors

  • R. Gokilam Department of Mathematics, Bharathiar University, Coimbatore, Tamil Nadu, India
  • R. Thanamani Department of Mathematics, Bharathiar University, Coimbatore, Tamil Nadu, India

Keywords:

Sobolev space, Approximate solutions, Well-posedness, Non-local form

Abstract

In this paper we study the initial value problems of Fornberg-Whitham(FW) and Oskolkov-Benjamin-Bona-Mahony(OBBM) equations which are locally wellposed in the Sobolev space $H^s$ for $s>\frac{3}{2}$. we define the approximate solutions of FW and OBBM equations and compute the errors. Then we estimate the $H^{\sigma}$ -norm of this errors.

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Published

15-12-2019

How to Cite

R. Gokilam, & R. Thanamani. (2019). Estimating the Approximate Solutions of the Fornberg-Whitham and Oskolkov-Benjamin-Bona-Mahony Equations. International Journal of Mathematics And Its Applications, 7(4), 63–70. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/206

Issue

Vol. 7 No. 4 (2019)

Section

Research Article

License

Creative Commons License

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