Title
q-Homotopy analysis method for solving the seventh-order time-fractional Lax’s Korteweg–de Vries and Sawada–Kotera equations
Document Type
Article
Publication Date
12-1-2019
Abstract
© 2019, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional. This article presents exact and approximate solutions of the seventh order time-fractional Lax’s Korteweg–de Vries (7TfLKdV) and Sawada–Kotera (7TfSK) equations using the modification of the homotopy analysis method called the q-homotopy analysis method. Using this method, we construct the solutions to these problems in the form of recurrence relations and present the graphical representation to verify all obtained results in each case for different values of fractional order. Error analysis is also illustrated in the present investigation.
Recommended Citation
Akinyemi, Lanre, "q-Homotopy analysis method for solving the seventh-order time-fractional Lax’s Korteweg–de Vries and Sawada–Kotera equations" (2019). Mathematics Open Access Publications. 5.
https://ohioopen.library.ohio.edu/math-oapub/5