Found 59 Documents (Results 1–59)
Analytical solution of the non-linear Michaelis-Menten pharmacokinetics equation. (English) Zbl 1466.92067
Effect of Hall and ion-slip on the peristaltic transport of nanofluid: a biomedical application. (English) Zbl 07823584
Convergent power series of \(\operatorname{sech}(x)\) and solutions to nonlinear differential equations. (English) Zbl 1487.34056
Fast iterative refinement method for mixed systems of integral and fractional integro-differential equations. (English) Zbl 1502.65272
Comput. Appl. Math. 37, No. 2, 2354-2379 (2018); erratum ibid. 37, No. 2, 2380 (2018).
Modified homotopy analysis method for nonlinear aeroelastic behavior of two degree-of-freedom airfoils. (English) Zbl 1359.74072
Efficient low-error analytical-numerical approximations for radial solutions of nonlinear Laplace equations. (English) Zbl 1326.65171
The variational iteration method is a special case of the homotopy analysis method. (English) Zbl 1325.65118
MSC:
65L99
Analytic study on non-Newtonian natural convection boundary layer flow with variable wall temperature on a horizontal plate. (English) Zbl 1293.76133
Analytic approximate solutions for steady flow over a rotating disk in porous medium with heat transfer by homotopy analysis method. (English) Zbl 1291.76338
Extended homotopy analysis method for multi-degree-of-freedom non-autonomous nonlinear dynamical systems and its application. (English) Zbl 1307.74070
Asymptotic analytical solutions of the two-degree-of-freedom strongly nonlinear van der Pol oscillators with cubic couple terms using extended homotopy analysis method. (English) Zbl 1352.65218
A Maple package of automated derivation of homotopy analysis solution for periodic nonlinear oscillations. (English) Zbl 1255.93054
MSC:
93B40
93C15
Homotopy analysis method for second-order boundary value problems of integrodifferential equations. (English) Zbl 1248.65084
Melting heat transfer in the stagnation-point flow of an upper-convected Maxwell (UCM) fluid past a stretching sheet. (English) Zbl 1426.76039
Mass transfer effects on the unsteady flow of UCM fluid over a stretching sheet. (English) Zbl 1333.76011
Reliable treatment of a new analytical method for solving MHD boundary-layer equations. (English) Zbl 1271.76387
MSC:
76W05
76M25
Sorét and Dufour effects on the mixed convection flow of a second grade fluid subject to Hall and ion-slip currents. (English) Zbl 1452.76268
A study of pressure distribution for a slider bearing lubricated with a second-grade fluid. (English) Zbl 1239.76029
Reviewer: Jagdish Prakash (Mumbai)
Comparison of three semi-analytical methods for solving \((1+1)\)-dimensional dispersive long wave equations. (English) Zbl 1217.65197
MSC:
65M99
Approximate analytical solutions to thermo-poroelastic equations by means of the iterated homotopy analysis method. (English) Zbl 1331.74178
Analytical approximate periodic solutions for two-degree-of-freedom coupled van der Pol-Duffing oscillators by extended homotopy analysis method. (English) Zbl 1241.70036
Reviewer: Vasile Marinca (Timişoara)
Periodic solutions of multi-degree-of-freedom strongly nonlinear coupled van der Pol oscillators by homotopy analysis method. (English) Zbl 1331.70065
Axisymmetric magnetohydrodynamic flow of micropolar fluid between unsteady stretching surfaces. (English) Zbl 1255.76092
Hall and ion-slip effects on three-dimensional flow of a second grade fluid. (English) Zbl 1394.76086
MSC:
76M25
Unsteady non-similarity boundary-layer flows caused by an impulsively stretching flat sheet. (English) Zbl 1206.35208
Accurate approximate analytical solutions for multi-degree-of-freedom coupled van der Pol-Duffing oscillators by homotopy analysis method. (English) Zbl 1222.65092
MSC:
65L99
Shrinking flow of second grade fluid in a rotating frame: an analytic solution. (English) Zbl 1222.76074
MSC:
76M25
76U05
An optimal homotopy-analysis approach for strongly nonlinear differential equations. (English) Zbl 1222.65088
Analytic approximate solution of three-dimensional Navier-Stokes equations of flow between two stretchable disks. (English) Zbl 1426.76526
On explicit, purely analytic solutions of off-centered stagnation flow towards a rotating disc by means of HAM. (English) Zbl 1207.34036
Reviewer: Feng Xie (Shanghai)
Some exact solutions of the fin problem with a power law temperature-dependent thermal conductivity. (English) Zbl 1261.35140
Homotopy based solutions of the Navier-Stokes equations for a porous channel with orthogonally moving walls. (English) Zbl 1190.76132
MSC:
76-XX
A reliable treatment of a homotopy analysis method for two-dimensional viscous flow in a rectangular domain bounded by two moving porous walls. (English) Zbl 1189.35249
Series solutions for unsteady laminar MHD flow near forward stagnation point of an impulsively rotating and translating sphere in presence of buoyancy forces. (English) Zbl 1253.76129
A general approach to get series solution of non-similarity boundary-layer flows. (English) Zbl 1221.76068
MSC:
76D10
On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a general approach. (English) Zbl 1221.65208
MSC:
65L99
Analytical solutions and efficiency of the nonlinear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient. (English) Zbl 1221.74083
MSC:
74S30
74F05
Construction of analytic solution to chaotic dynamical systems using the homotopy analysis method. (English) Zbl 1197.65102
MSC:
65L99
The modified differential transform method for solving MHD boundary-layer equations. (English) Zbl 1197.76156
Comput. Phys. Commun. 180, No. 11, 2210-2217 (2009); corrigendum ibid. 212, 285 (2017).
MSC:
76W05
Series solution of large deformation of a beam with arbitrary variable cross section under an axial load. (English) Zbl 1196.34027
Stretching a plane surface in a viscoelastic fluid with prescribed skin friction. (English) Zbl 1331.76097
An application of homotopy analysis to the viscous flow past a circular cylinder. (English) Zbl 1417.76033
Series solution of nonlinear eigenvalue problems by means of the homotopy analysis method. (English) Zbl 1163.35450
MSC:
35P30
Purely analytic approximate solutions for steady three-dimensional problem of condensation film on inclined rotating disk by homotopy analysis method. (English) Zbl 1163.34307
MSC:
34A34
MHD flow of a micropolar fluid near a stagnation-point towards a nonlinear stretching surface. (English) Zbl 1160.76055
The homotopy analysis method for explicit analytical solutions of Jaulent-Miodek equations. (English) Zbl 1168.35428
The influence of heat transfer in an MHD second grade fluid film over an unsteady stretching sheet. (English) Zbl 1221.76034
Solitary wave solutions to the Kuramoto-Sivashinsky equation by means of the homotopy analysis method. (English) Zbl 1173.35646
On the analytic solution of nonlinear flow problem involving Oldroyd 8-constant fluid. (English) Zbl 1187.76604
MSC:
76A05
Analytic approximate solutions for unsteady two-dimensional and axisymmetric squeezing flows between parallel plates. (English) Zbl 1163.76016
Three-dimensional flow over a stretching surface in a viscoelastic fluid. (English) Zbl 1154.76315
MSC:
76A10
Unsteady flow of a second grade fluid film over an unsteady stretching sheet. (English) Zbl 1145.76317
Radiation effects on MHD flow in a porous space. (English) Zbl 1141.76069
Reviewer: Vladimir Čadež (Beograd)
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