## Found 126 Documents (Results 1–100)

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### A mixed approximate method to simulate generalized Hirota-Satsuma coupled KdV equations. (English)Zbl 1499.65371

MSC:  65M06 35Q53 65M25
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### VIM-Padé technique for solving nonlinear and delay initial value problems. (English)Zbl 1490.65138

MSC:  65L05 41A21
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### A reliable technique to study nonlinear time-fractional coupled Korteweg-de Vries equations. (English)Zbl 1482.35200

MSC:  35Q53 35R11 26A33
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### Novel methods for finding general forms of new multi-soliton solutions to $$(1+1)$$-dimensional KdV equation and $$(2+1)$$-dimensional Kadomtsev-Petviashvili (KP) equation. (English)Zbl 07583662

MSC:  74-XX 78-XX
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### Numerical solutions of nonlinear fractional model arising in the appearance of the strip patterns in two-dimensional systems. (English)Zbl 1487.65169

MSC:  65M99 35R11 65M22
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### A hybrid numerical method to solve nonlinear parabolic partial differential equations of time-arbitrary order. (English)Zbl 1438.65247

MSC:  65M70 35K55 35K59
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### Modifications of the multistep optimal homotopy asymptotic method to some nonlinear KdV-equations. (English)Zbl 1413.35109

MSC:  35C05 35Q53
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### An efficient computational approach for generalized Hirota-Satsuma coupled KdV equations arising in shallow water waves. (English)Zbl 1431.35154

MSC:  35Q53 37K10
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### Discrete homotopy analysis for optimal trading execution with nonlinear transient market impact. (English)Zbl 07249771

MSC:  91-XX 65-XX
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### On combined effects of heat transfer and chemical reaction for the flow through an asymmetric channel with orthogonally deformable porous walls. (English)Zbl 1400.76097

MSC:  76V05 80A20 76S05 80A32
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### Heat transfer and flows of thermal convection in a fluid-saturated rotating porous medium. (English)Zbl 1394.76118

MSC:  76R10 80A20 76S05 76U05
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### A numerical solution for Hirota-Satsuma coupled KdV equation. (English)Zbl 1474.65388

MSC:  65M70 35Q53 65M12
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### Homotopy analysis method for space-time fractional differential equations. (English)Zbl 1357.65228

MSC:  65M99 35R11 45K05
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### A semi-analytical technique for the solution of differential-algebraic equations and applications in flow of an incompressible viscous fluid. (English)Zbl 1356.76260

MSC:  76M25 76D99 65L80
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### Application of variational iteration method to nonlinear heat transfer equations using He’s polynomials. (English)Zbl 1356.65212

MSC:  65L99 80A20
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### Homotopy analysis method for time-fractional wave-like equations. (English)Zbl 1307.65143

MSC:  65M99 35L70 35R11
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### Determination of optimal convergence-control parameter value in homotopy analysis method. (English)Zbl 1283.65073

MSC:  65L10 34B15 65L20
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### Symbolic computation of strongly nonlinear periodic oscillations. (English)Zbl 1325.68292

MSC:  68W30 65L99 68T15 34C15
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### The application of the homotopy analysis method and the homotopy perturbation method to the Davey-Stewartson equations and comparison between them and exact solutions. (English)Zbl 1266.76044

MSC:  76M99 65H20
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### Homotopy analysis method for space- and time-fractional KdV equation. (English)Zbl 1357.65221

MSC:  65M99 35Q53 35R11
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MSC:  65L99
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### Analytical approximations to the solutions for a generalized oscillator with strong nonlinear terms. (English)Zbl 1276.34009

MSC:  34A45 34C15
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### Extended homotopy analysis method for multi-degree-of-freedom non-autonomous nonlinear dynamical systems and its application. (English)Zbl 1307.74070

MSC:  74S30 65L99 34A45 74H10
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### Constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame with the homotopy analysis method. (English)Zbl 1264.76074

MSC:  76M25 76A05 76S05 76U05 74F10
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### Approximate analytic solution for the KdV and Burger equations with the homotopy analysis method. (English)Zbl 1267.35201

MSC:  35Q53 35C10 35C08
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### A Maple package of automated derivation of homotopy analysis solution for periodic nonlinear oscillations. (English)Zbl 1255.93054

MSC:  93B40 93C15
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### MHD squeezing flow of second-grade fluid between two parallel disks. (English)Zbl 1245.76102

MSC:  76M25 76W05
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### Mixed convection unsteady stagnation point flow over a stretching sheet with heat transfer in the presence of variable free stream. (English)Zbl 1344.76079

MSC:  76R05 76R10 76M45 80A20
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### Numerical simulation of generalized Hirota-Satsuma coupled KdV equation by RDTM and comparison with DTM. (English)Zbl 1244.65153

MSC:  65M99 35Q53
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### Melting heat transfer in the stagnation-point flow of an upper-convected Maxwell (UCM) fluid past a stretching sheet. (English)Zbl 1426.76039

MSC:  76A10 76M45 80A20
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### Flow and heat transfer with prescribed skin friction in a rotating fluid. (English)Zbl 1237.76203

MSC:  76U05 80A20
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### Mass transfer effects on the unsteady flow of UCM fluid over a stretching sheet. (English)Zbl 1333.76011

MSC:  76A05 76M25 65H20
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### Analytic solutions to the oscillatory behavior and primary resonance of electrostatically actuated microbridges. (English)Zbl 1245.74099

MSC:  74S30 74K10 74H45
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### Exact traveling wave solutions for a generalized Hirota-Satsuma coupled KdV equation by Fan sub-equation method. (English)Zbl 1241.35178

MSC:  35Q53 35C07 35C08
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### Series solution for heat transfer from a continuous surface in a parallel free stream of viscoelastic fluid. (English)Zbl 1411.76009

MSC:  76A10 76M25 80A20
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### Mathematical properties of $$\hbar$$-curve in the frame work of the homotopy analysis method. (English)Zbl 1222.65060

MSC:  65L05 34A34 65L20
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### Analytical solution of hydromagnetic flow with Hall effect over a surface stretching with a power-law velocity. (English)Zbl 1345.76117

MSC:  76W05 76M45
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### Similarity solutions for flows and heat transfer in microchannels between two parallel plates. (English)Zbl 1217.80100

MSC:  80A20 76D05 76M45 80M35
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### Radiation and magnetic field effects on the unsteady mixed convection flow of a second grade fluid over a vertical stretching sheet. (English)Zbl 1432.76286

MSC:  76W05 76R05 76R10
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### Approximate analytical solutions to thermo-poroelastic equations by means of the iterated homotopy analysis method. (English)Zbl 1331.74178

MSC:  74S30 65M99 74F05 74H10 80M25
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### Effects of thermal radiation on the boundary layer flow of a Jeffrey fluid over an exponentially stretching surface. (English)Zbl 1432.76032

MSC:  76A05 80A21 76S05
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### Analytical approximate periodic solutions for two-degree-of-freedom coupled van der Pol-Duffing oscillators by extended homotopy analysis method. (English)Zbl 1241.70036

MSC:  70K42 70K60
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### An efficient analytic approach for solving two-point nonlinear boundary value problems by homotopy analysis method. (English)Zbl 1226.34021

MSC:  34B15 34A45 34A25
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### Periodic solutions of multi-degree-of-freedom strongly nonlinear coupled van der Pol oscillators by homotopy analysis method. (English)Zbl 1331.70065

MSC:  70K99 65L99 34C15
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### The optimal homotopy-analysis method for Kawahara equation. (English)Zbl 1213.35030

MSC:  35A25 35C07
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### A new analytical technique to solve Fredholm’s integral equations. (English)Zbl 1208.45006

MSC:  45L05 45B05 45G10
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### Homotopy analysis method to Walter’s B fluid in a vertical channel with porous wall. (English)Zbl 1258.76027

MSC:  76A10 76S05 76M45 80A20
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### Approximate rational Jacobi elliptic function solutions of the fractional differential equations via the enhanced Adomian decomposition method. (English)Zbl 1238.34004

MSC:  34A05 33E05 49M27
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### Prediction of multiplicity of solutions of nonlinear boundary value problems: novel application of homotopy analysis method. (English)Zbl 1222.65081

MSC:  65L99 34B15
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MSC:  65L99
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### Approximate solution for system of differential-difference equations by means of the homotopy analysis method. (English)Zbl 1221.65159

MSC:  65L03 65L20 34A25 34K28
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### Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method. (English)Zbl 1202.65125

MSC:  65M70 35C10 35Q53
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MSC:  65M99
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MSC:  34D20
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### Analytic solutions to diffusion equations. (English)Zbl 1190.65160

MSC:  65M99 35K57
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### On convergence of homotopy analysis method and its modification for fractional modified KdV equations. (English)Zbl 1193.35178

MSC:  35Q53 35R11 35C20
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### MHD flow and heat transfer in a thin liquid film on an unsteady stretching sheet by the homotopy analysis method. (English)Zbl 1352.76125

MSC:  76W05 76M25 80A20 76A20
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### Analytical treatment on magnetohydrodynamic (MHD) flow and heat transfer due to a stretching hollow cylinder. (English)Zbl 1423.76339

MSC:  76M25 76W05 80A20
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### The homotopy analysis method for handling systems of fractional differential equations. (English)Zbl 1185.65140

MSC:  65L99 34A08
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### Effects of partial slip on a fourth-grade fluid with variable viscosity: an analytic solution. (English)Zbl 1186.35166

MSC:  35Q35 76D03 80A20 35C10 76M45
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### Improving convergence of incremental harmonic balance method using homotopy analysis method. (English)Zbl 1269.70006

MSC:  70-08 70K99
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### An analytical solution for a nonlinear time-delay model in biology. (English)Zbl 1221.65204

MSC:  65L99 37N25
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MSC:  76D10
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### Analytic approximate solutions to Burgers, Fisher, Huxley equations and two combined forms of these equations. (English)Zbl 1221.65271

MSC:  65M99 35Q53 35A35
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### Notes on the homotopy analysis method: some definitions and theorems. (English)Zbl 1221.65126

MSC:  65H99 35A25 35C10
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### Homotopy analysis method for fractional IVPs. (English)Zbl 1221.65277

MSC:  65M99 45A05
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### An explicit series solution of the squeezing flow between two infinite plates by means of the homotopy analysis method. (English)Zbl 1221.76158

MSC:  76M25 76D99
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### Numerical solution of the generalized Zakharov equation by homotopy analysis method. (English)Zbl 1221.65269

MSC:  65M99 35Q55
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MSC:  65L99
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### On a new reliable algorithm. (English)Zbl 1207.34018

MSC:  34A45 34C60 92D25
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### Analytical solution for van der Pol-Duffing oscillators. (English)Zbl 1198.65145

MSC:  65L99 34C15
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### On the homotopy analysis method for the exact solutions of Helmholtz equation. (English)Zbl 1198.65201

MSC:  65M99 35Q55
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### Solving the fractional BBM-Burgers equation using the homotopy analysis method. (English)Zbl 1198.65205

MSC:  65M99 35Q53 45K05
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### Series solutions of non-linear Riccati differential equations with fractional order. (English)Zbl 1197.34006

MSC:  34A25 34A08 26A33
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### Solitary wave solutions to the modified form of Camassa-Holm equation by means of the homotopy analysis method. (English)Zbl 1197.65199

MSC:  65N99 35Q53
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### Homotopy analysis for boundary layer flow of a micropolar fluid through a porous channel. (English)Zbl 1205.76201

MSC:  76M25 76A05
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### An analytical solution to Boltzmann equation of dilute granular flow with homotopy analysis method. (English)Zbl 1184.76892

MSC:  76T25 65M99
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### Direct solution of $$n$$th-order IVPs by homotopy analysis method. (English)Zbl 1178.65077

MSC:  65L05 65L06 34A34
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### Series solutions of systems of nonlinear fractional differential equations. (English)Zbl 1187.34007

MSC:  34A08 34A25 34A45
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### Solution of delay differential equation by means of homotopy analysis method. (English)Zbl 1187.34081

MSC:  34K07 34K05 34K28
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### Comparison between the homotopy analysis method and homotopy perturbation method to solve coupled Schrödinger-KdV equation. (English)Zbl 1177.65152

MSC:  65M70 35Q53 35Q55
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### The explicit series solution of SIR and SIS epidemic models. (English)Zbl 1171.92033

MSC:  92D30 37N25 34A34
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