Keywords: راه حل سری; Porous medium equation; Series solution; Groundwater; Wedged Hele-Shaw cell; Shampine's method;
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Keywords: راه حل سری; European option; Series solution; Stochastic interest rate; Convergence;
Keywords: راه حل سری; Adomian decomposition method; Convergence acceleration parameter; Series solution; Nonlinear differential equation;
Keywords: راه حل سری; Von Kármán swirling viscous flow; Rigid body rotation; Series solution; Numerical technique;
Keywords: راه حل سری; Cattaneo-Christov theory; Relaxation time; Rotating frame; Nonlinear analysis; Series solution;
Keywords: راه حل سری; Systems of linear and nonlinear integro-differential equations; Series solution; Volterra integral equations;
Keywords: راه حل سری; Optimal homotopy-analysis method; Nonlinear; Analytic approximation; Series solution
Keywords: راه حل سری; Series solution; Vibration; Composite laminated; Curved beam; General boundary
Keywords: راه حل سری; Abel integral equation; Laplace transform; Taylor expansion; Series solution; Padé approximant;
Keywords: راه حل سری; Time-fractional wave equation; Homotopy perturbation method; Caputo fractional derivative; Series solution
Keywords: راه حل سری; Dredge excavation pit; Explicit modified mild-slope equation; Series solution; Wave refraction; Wave attenuation
Keywords: راه حل سری; Adomian decomposition method; Green’s function; Homotopy perturbation method; Seventh order boundary value problems; Linear and nonlinear problems; Series solution
Keywords: راه حل سری; Homotopy analysis method; Spectral collocation method; Series solution; Micropolar fluid
Keywords: راه حل سری; Optimal control; Minimum principle; Partial differential equations; Variational Iteration Method; Series solution
Keywords: راه حل سری; Non-autonomous matrix partial differential systems; Separation of variables technique; Series solution; Numerical approximation; Magnus expansions;
Keywords: راه حل سری; Free vibrations; Truncated conical shells; General end restraints; Series solution
Keywords: راه حل سری; Multi-layer unconfined aquifer; Semi-analytical model; Free boundary problem; Series solution; Saturated-unsaturated flow;
Numerical simulations for fractional variation of (1â¯+â¯1)-dimensional Biswas-Milovic equation
Keywords: راه حل سری; Residual power series method; (1â¯+â¯1)-Dimensional Biswas-Milovic equation; Series solution;
Application of homotopy analysis method to the solution of ninth order boundary value problems in AFTI-F16 fighters
Keywords: راه حل سری; Homotopy analysis method; Ninth order boundary value problem; Series solution;
Accurate analytical periodic solution of the elliptical Kepler equation using the Adomian decomposition method
Keywords: راه حل سری; Kepler's equation; Adomian decomposition method; Adomian polynomials; Series solution;
A new analytical solution of the hyperbolic Kepler equation using the Adomian decomposition method
Keywords: راه حل سری; Hyperbolic Kepler equation; Adomian decomposition method; Adomian polynomials; Series solution;
Peristaltic flow of Powell-Eyring fluid in curved channel with heat transfer: A useful application in biomedicine
Keywords: راه حل سری; Peristalsis; Powell-Eyring fluid; Series solution; Curved channel; Slip condition; Complaint wall;
MHD peristaltic transport of Eyring-Powell fluid with heat/mass transfer, wall properties and slip conditions
Keywords: راه حل سری; Peristalsis; Magnetic field; Eyring-Powell fluid; Complaint walls; Non-linear problem; Series solution;
An efficient algorithm for solving higher-order fractional Sturm–Liouville eigenvalue problems
Keywords: راه حل سری; Caputo derivative; Fractional Sturm-Liouville problems; Eigenvalues; Series solution
Piece-wise continuous solution to a class of nonlinear boundary value problems
Keywords: راه حل سری; Nonlinear boundary value problems; Contraction mapping; Series solution;
Stability analysis of joined isotropic conical shells under axial compression
Keywords: راه حل سری; Joined shells; Conical shells; Buckling; Series solution
The series solution to the modified mild-slope equation for wave scattering by Homma islands
Keywords: راه حل سری; Modified mild-slope equation; Explicit form; Homma island; Wave scattering; Mass-conserving boundary condition; Series solution
A new exact solution for boundary layer flow over a stretching plate
Keywords: راه حل سری; Boundary layer equations; Pressure gradient; Velocity ratio; Exact solutions; Series solution
Predicting diffusion in aquifers beneath saline ponds
Keywords: راه حل سری; Groundwater; Diffusion; Advection; Aquaculture; Series solution
Exact solutions and numerical approximations of mixed problems for the wave equation with delay
Keywords: راه حل سری; Series solution; Separation of variables; A priori error bounds; Second order delay differential equation;
Strain gradient elasticity solution for functionally graded micro-cylinders
Keywords: راه حل سری; Strain gradient elasticity; Series solution; Functionally graded materials; Micro-cylinder
New iterative methods for solving nonlinear equation by using homotopy perturbation method
Keywords: راه حل سری; Nonlinear equations; Series solution; Modified homotopy perturbation method; Convergence criteria; Numerical examples
The comparison between Homotopy Analysis Method and Optimal Homotopy Asymptotic Method for nonlinear age-structured population models
Keywords: راه حل سری; Age-structured population model; Homotopy Analysis Method; Optimal Homotopy Asymptotic Method; Control parameter; Least square; Auxiliary parameter; ℏ-Curve; Series solution
Exact and analytic-numerical solutions of bidimensional lagging models of heat conduction
Keywords: راه حل سری; Non-Fourier heat conduction; Series solution; Separation of variables; DPL models
An analytical method for solving linear Fredholm fuzzy integral equations of the second kind
Keywords: راه حل سری; Fuzzy number; Fuzzy function; Fuzzy Fredholm integral equation; Homotopy analysis method; Series solution
Approximate analytical solutions of the nonlinear reaction–diffusion–convection problems
Keywords: راه حل سری; Nonlinear reaction–diffusion–convection problems; Homotopy analysis method; Series solution
Solving a system of integral equations by an analytic method
Keywords: راه حل سری; System of integral equations; Homotopy analysis method; Series solution
Thermoconvective instabilities in an inclined porous channel heated from below
Keywords: راه حل سری; Porous medium; Darcy's law; Inclined channel; Linear stability; Convective rolls; Series solution;
Homotopy analysis method for higher-order fractional integro-differential equations
Keywords: راه حل سری; Fractional integro-differential equation; Homotopy analysis method; Series solution
Application of the homotopy analysis method to the Poisson–Boltzmann equation for semiconductor devices
Keywords: راه حل سری; Nonlinear equations; Series solution; Homotopy analysis method; MOSFET; Semiconductor devices; Poisson–Boltzmann equation
An implicit series solution for a boundary value problem modelling a thermal explosion
Keywords: راه حل سری; Lane-Emden equation; Series solution; Abel equation;
Solving the inverse problem of identifying an unknown source term in a parabolic equation
Keywords: راه حل سری; Parabolic equation; Inverse problem; Unknown source term; Weighted homotopy analysis method; Series solution
Homotopy analysis method for the Kawahara equation
Keywords: راه حل سری; Kawahara equation; Homotopy analysis method; Travelling-wave solution; Series solution
Analytical and numerical results for the Swift–Hohenberg equation
Keywords: راه حل سری; Swift–Hohenberg equation; Fisher–Kolmogorov equation; Higher order parabolic model equations; Series solution; Convergent solution
A study on the convergence of homotopy analysis method
Keywords: راه حل سری; Homotopy analysis method; Series solution; Convergence; Maximum absolute truncated error
A weighted algorithm based on the homotopy analysis method: Application to inverse heat conduction problems
Keywords: راه حل سری; Inverse problems; Heat conduction problems; Homotopy analysis method; Series solution
A series solution of the Cauchy problem for the generalized dd-dimensional Schrödinger equation with a power-law nonlinearity
Keywords: راه حل سری; Generalized dd-dimensional Schrödinger equation; Cauchy problem; Series solution; Homotopy analysis method; Homotopy perturbation method; Adomian decomposition method
Viscous dissipation and thermoconvective instabilities in a horizontal porous channel heated from below
Keywords: راه حل سری; Porous medium; Darcy's law; Viscous dissipation; Linear stability; Convective rolls; Series solution
A series solution of the nonlinear Volterra and Fredholm integro-differential equations
Keywords: راه حل سری; 02.60.NmHomotopy analysis method; Series solution; Integro-differential equation; Volterra; Fredholm
A study on the convergence of variational iteration method
Keywords: راه حل سری; Variational iteration method; Lagrange multiplier; Series solution; Convergence; Error estimate; Hilbert space