Solution of Blasius Equation Concerning with Mohand Transform
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Solution of Blasius Equation Concerning with Mohand Transform Rachana Khandelwal1
· Yogesh Khandelwal1
© Springer Nature India Private Limited 2020
Abstract In this article, we present solution of Blasius differential equation with condition at infinity and convert the series solution into rational function by using Padˇes approximation. A new method is introduced, called Adomian Mohand transform method, which is a combination of Adomian decomposition method and new integral transform specifically Mohand transform, for handling a differential equation of mixing layer that arises in viscous incompressible fluid. It offered not only the numerical values, but also the power series close-form solutions. Keywords Mohand transform · Adomian decomposition procedure (ADP) · Padˇe approximation · Blasius equation
Introduction Mathematical scripts aside, the incentive behind integral transforms is simple to understand. There are many categories of complication that are not easy to elucidate or at least completely unhandy in their native depiction. An integral transform “maps” an equation from its native “domain” into another domain. Operating and resolving the equation in the selected domain can be much straightforward than operate and solution in the native domain such that Mohand transform. The infusion is then mapped back to the native domain with the reverse of the integral transform. Most scientific complications and occurrence such as heat transfer happen nonlinearly.In continuation we come to know that HIV-TB co infection, food web model and this type of other differential equations can be solved by new numerical techniques [1–6].Which can be advantageous for future research. We realize that only a finite number of these complications have an accurate [7] analytical infusion. Stability and numerical solution of differential equation like variable order, time-fractional Klein-Gordon, Riccati can be solved by new methods [8–12]. These give better results and may use it for further development. In the 1980s, George Adomian (1923–1996) initiated a mighty procedure for resolving nonlinear functional equations. His procedure is well-known as the Adomian decomposition procedure (ADP) [13–16]. This procedure is established on the depiction of an infusion to a
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Rachana Khandelwal [email protected] Department of Mathematics, Maharishi Arvind University, Jaipur, Rajasthan, India 0123456789().: V,-vol
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Int. J. Appl. Comput. Math
(2020) 6:128
functional equation as succession of functions. Each expression of the succession is acquired from a polynomial initiated by a power succession’s extension of an analytic function. Although the abstract formulation of the Adomian procedure is very easy, the computations of the polynomials and the confirmation of convergence of the function succession in certain conditions are generally a tough assignment. Mohand transform is obtained from the classical Fourier integral. Established on the mathematical clarity of the Mohand transform and its eleme
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