Keywords: روش همپوپی بهینه مطلوب; Fractional calculus; Chaos; Lyapunov exponents; Stability; Brusselator system; System of partial differential equations; Optimal homotopy asymptotic method; 26A33; 35R11; 74H10; 34H10;
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Keywords: روش همپوپی بهینه مطلوب; Optimal homotopy asymptotic method; Fractional order Cauchy reaction diffusion equations; Analytical and approximate solution; 35A22; 35A25; 35K57;
Keywords: روش همپوپی بهینه مطلوب; Initial guess; Auxiliary parameters; Auxiliary functions; Galerkin's method; Embedding parameter; Optimal Homotopy Asymptotic Method; New version of Optimal Homotopy Asymptotic Method;
Keywords: روش همپوپی بهینه مطلوب; Modified Fornberg–Whitham equation; Hermite wavelet method; Optimal Homotopy asymptotic method; Caputo derivative
Keywords: روش همپوپی بهینه مطلوب; Optimal Homotopy Asymptotic Method; Blasius equation; Explicit analytic solution; Non-linear technique;
Optimal homotopy asymptotic method for solving nth order linear fuzzy initial value problems
Keywords: روش همپوپی بهینه مطلوب; Fuzzy numbers; Fuzzy differential equations; Optimal homotopy asymptotic method;
Approximate solutions for steady boundary layer MHD viscous flow and radiative heat transfer over an exponentially porous stretching sheet
Keywords: روش همپوپی بهینه مطلوب; Optimal homotopy asymptotic method; Exponential stretching; Boundary layer flow; Velocity slip; Thermal slip; Stretching sheet;
An investigation with Hermite Wavelets for accurate solution of Fractional Jaulent–Miodek equation associated with energy-dependent Schrödinger potential
Keywords: روش همپوپی بهینه مطلوب; Jaulent–Miodek equation; Hermite wavelet method; Caputo derivative; Optimal Homotopy asymptotic method
Optimal homotopy asymptotic method for solving Volterra integral equation of first kind
Keywords: روش همپوپی بهینه مطلوب; Optimal homotopy asymptotic method; Integral equation; Volterra first kind;
Solution of coupled Whitham–Broer–Kaup equations using optimal homotopy asymptotic method
Keywords: روش همپوپی بهینه مطلوب; Optimal homotopy asymptotic method; Whitham–Broer–Kaup equations; Traveling wave solution; Modified Boussinesq equation; Long wave
Application of the optimal homotopy asymptotic method for solving a strongly nonlinear oscillatory system
Keywords: روش همپوپی بهینه مطلوب; Optimal homotopy asymptotic method; Homotopy analysis method; Homotopy-pade technique
Optimal homotopy asymptotic method for solving nonlinear Fredholm integral equations of second kind
Keywords: روش همپوپی بهینه مطلوب; Fredholm integral equations; Optimal homotopy asymptotic method; Nonlinear equations
Numerical solutions of weakly singular Volterra integral equations using the optimal homotopy asymptotic method
Keywords: روش همپوپی بهینه مطلوب; Volterra integral equations; Weakly singular kernels; Optimal homotopy asymptotic method
An analytic solution for the space–time fractional advection–dispersion equation using the optimal homotopy asymptotic method
Keywords: روش همپوپی بهینه مطلوب; Optimal homotopy asymptotic method; Fractional advection–dispersion equation; Caputo derivative; Square residual error
Wire coating analysis with Oldroyd 8-constant fluid by Optimal Homotopy Asymptotic Method
Keywords: روش همپوپی بهینه مطلوب; Oldroyd 8-constant fluid; Wire coating; Pressure type die; Optimal homotopy asymptotic method
The comparison between Homotopy Analysis Method and Optimal Homotopy Asymptotic Method for nonlinear age-structured population models
Keywords: روش همپوپی بهینه مطلوب; Age-structured population model; Homotopy Analysis Method; Optimal Homotopy Asymptotic Method; Control parameter; Least square; Auxiliary parameter; ℏ-Curve; Series solution
Application of optimal homotopy asymptotic method for the analytic solution of singular Lane–Emden type equation
Keywords: روش همپوپی بهینه مطلوب; Optimal homotopy asymptotic method; Lane–Emden equation; Singular initial value problems
Reply to “Comments on ‘A one-step optimal homotopy analysis method for nonlinear differential equations”’
Keywords: روش همپوپی بهینه مطلوب; Optimal homotopy analysis method; Optimal homotopy asymptotic method; Nonlinear differential equations
Application of the Optimal Homotopy Asymptotic Method to squeezing flow
Keywords: روش همپوپی بهینه مطلوب; Squeezing flow; Optimal Homotopy Asymptotic Method; Convergence constants
Accurate analytical solutions to oscillators with discontinuities and fractional-power restoring force by means of the optimal homotopy asymptotic method
Keywords: روش همپوپی بهینه مطلوب; Nonlinear oscillators; Fractional-power restoring force; Optimal homotopy asymptotic method
Some solutions of the linear and nonlinear Klein–Gordon equations using the optimal homotopy asymptotic method
Keywords: روش همپوپی بهینه مطلوب; Optimal homotopy asymptotic method; Klein–Gordon equations; Partial differential equations
The solution of multipoint boundary value problems by the Optimal Homotopy Asymptotic Method
Keywords: روش همپوپی بهینه مطلوب; Multipoint boundary value problems; Optimal Homotopy Asymptotic Method