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Bhausaheb R. Sontakke

Publications (4)

Solving Time Fractional Sharma-Tasso-Olever Equation using Fractional Complex Transform with Iterative Method

Bhausaheb R. Sontakke & Amjad Shaikh · Journal of Advances in Mathematics and Computer Science · 2016

In this paper, we consider time fractional Sharma-Tasso-Olever equation based on Jumarie's modified Riemann-Liouville derivatives. By using fractional complex transform the time fractional Sharma-Tasso-Olever equation reduces to nonlinear partial differential equation and then ne...

Open access Research Article 10.9734/BJMCS/2016/29039

The New Iterative Method for Approximate Solutions of Time Fractional Kdv, K(2,2), Burgers, and Cubic Boussinesq Equations

Bhausaheb R. Sontakke & Amjad Shaikh · Asian Research Journal of Mathematics · 2016

In this paper, new iterative method is used to determine approximate solutions for the time fractional KdV, the K(2,2), the Burgers, and the cubic Boussinesq equations. The obtained approximate solutions are compared with the exact results. The study reveals that the present meth...

Open access Research Article 10.9734/ARJOM/2016/29279

Analytical Solution of Linear Fractional Partial Dierential Equation of Order 0 \(

Shankar R. Raut, Bhausaheb R. Sontakke & Vidya N. Bhadgaonkar · Journal of Advances in Mathematics and Computer Science · 2022

The paper aims to obtain exact analytical solution of linear nonhomogeneous space-time fractional order partial differential equation by improved Adomian decomposition method coupled with fractional Taylor expansion series. The solution of these equations are in series form may h...

Open access Research Article 10.9734/jamcs/2022/v37i530451

Exact Solution of Space-Time Fractional Partial Differential Equations by Adomian Decomposition Method

Vidya N. Bhadgaonkar & Bhausaheb R. Sontakke · Journal of Advances in Mathematics and Computer Science · 2021

The intention behind this paper is to achieve exact solution of one dimensional nonlinear fractional partial differential equation(NFPDE) by using Adomian decomposition method(ADM) with suitable initial value. These equations arise in gas dynamic model and heat conduction model....

Open access Research Article 10.9734/jamcs/2021/v36i630373