31 citations · 85 across the 10 of their papers we have counts for
3 papers · 1 filter
Solving Abel integral equations of first kind via fractional calculus
Salman Jahanshahi, Esmail Babolian, Delfim F. M. Torres +1
We give a new method for numerically solving Abel integral equations of first kind. An estimation for the error is obtained. The method is based on approximations of fractional int…
Padé approximation
Hamed Mohebalizadeh, Esmail Babolian
To generalize the concept of Padé approximation for functions to more than one variable, several definitions have been introduced. All definitions have advantages and disadvantages…
A New Fast Numerical Method for One-Dimensional Nonlinear Sine-Gordon Equation Using Multivariate Padé approximation
Hamed Mohebalizadeh, Esmail Babolian
This paper has two purposes. First we present a new definition of the multivariate Padé approximation, a new fast numerical method. Then numerical solution of the one-dimensional (…