... are: Equation 35 Equation 36 Equation 37 Equation 38 A Padé approximants (Baker, 1975) is the ratio of two polynomials constructed from the coefficients of the Taylor series expansion of a function. The [L/M] Padé approximant to a formal power series A(x...

...Behrouz Raftari; Hojatollah Adibi; Ahmet Yildirim Purpose The purpose of this work is to analytically examine the magnetohydrodynamic (MHD) Falkner‐Skan flow. Design/methodology/approach The series solution is obtained using the Adomian decomposition method (ADM) coupled with Padé approximants...

... The approach is based on the differential transform method. The solutions of a fractional model equation are calculated in the form of convergent series with easily computable components. Findings The diagonal Padé approximants are effectively used in the analysis to capture the essential behavior...

... equation is solved analytically by applying a newly developed method, namely the differential transform method (DTM)‐Padé technique that is a combination of the DTM and the Padé approximation. The analytic solutions of the nonlinear ordinary differential equation are constructed in the ratio of two...