Keywords: معادلات دیفرانسیل غیر خطی; Positivity; Exponential integrators; Nonlinear differential equations; Numerical methods; 65L05; 65P40; 65L20;
مقالات ISI معادلات دیفرانسیل غیر خطی (ترجمه نشده)
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Keywords: معادلات دیفرانسیل غیر خطی; Differential equation parameter estimation; Earth's gravity field; Satellite gravimetry; Measurement-based perturbation; Condition adjustment with parameters; Nonlinear differential equations; Nonlinear Volterra's integral equations;
Keywords: معادلات دیفرانسیل غیر خطی; Least Squares Homotopy Perturbation Method; Nonlinear differential equations; Approximate analytical solution; Homotopy Perturbation Method;
Keywords: معادلات دیفرانسیل غیر خطی; Mathematical model; Symbiosis; Ecoepidemiology; Nonlinear differential equations; Dynamics of coexisting species;
Keywords: معادلات دیفرانسیل غیر خطی; Nonlinear differential equations; Equivalence transformations; Parameter reduction; Symbolic computations;
Keywords: معادلات دیفرانسیل غیر خطی; Nonlinear differential equations; Bessel functions of the first kind; Collocation method; Matrix method; Numerical solutions;
Keywords: معادلات دیفرانسیل غیر خطی; Nonlinear differential equations; Quasi-Newton's method; Simplified reproducing kernel method; Approximation;
Keywords: معادلات دیفرانسیل غیر خطی; Computational method; Bernstein operational matrices; Nonlinear differential equations; Singular boundary value problems;
Keywords: معادلات دیفرانسیل غیر خطی; Parametrically defined differential equations; Nonlinear differential equations; Unsteady axisymmetric boundary layer; General solutions; Exact solutions
Keywords: معادلات دیفرانسیل غیر خطی; Variation of parameters; Nonlinear differential equations; Heat transfer applications
Keywords: معادلات دیفرانسیل غیر خطی; Finite difference method; Nonlinear differential equations; Modal analysis; Mode-matching technique; Maxwell equations
Keywords: معادلات دیفرانسیل غیر خطی; Nonlinear differential equations; Taylor matrix method; Power series method; Abel-type equations;
Keywords: معادلات دیفرانسیل غیر خطی; Nonlinear differential equations; Delay equations; Debt security; Equity; Computational finance; Forecasting
Keywords: معادلات دیفرانسیل غیر خطی; Hyperchaos; Chaos; Indicators of chaos; Nonlinear differential equations;
Keywords: معادلات دیفرانسیل غیر خطی; Homotopy analysis method (HAM); Nonlinear differential equations; Thermal explosion; Polydisperse fuel spray; Singular perturbed system (SPS)
Keywords: معادلات دیفرانسیل غیر خطی; Singular perturbation; Nonlinear differential equations; Turning point; Canard solution; Asymptotic approximation
Keywords: معادلات دیفرانسیل غیر خطی; Newton–Raphson methods; Continuous Newton–Raphson method; Adaptive step size control; Nonlinear differential equations; Chaotic behavior
Keywords: معادلات دیفرانسیل غیر خطی; Second order differential equations in abstract spaces; Nonlocal conditions; Nonlinear differential equations; Evolution operators; Cosine function of operators
Keywords: معادلات دیفرانسیل غیر خطی; Nonlinear differential equations; Non-monotonic blow-up solutions; Non-local transformations; Numerical integration; Test problems with exact solutions;
Parametrically defined nonlinear differential equations, differential-algebraic equations, and implicit ODEs: Transformations, general solutions, and integration methods
Keywords: معادلات دیفرانسیل غیر خطی; Parametrically defined differential equations; Differential-algebraic equations; Nonlinear differential equations; Exact and numerical methods; Cauchy problem; Exact and general solutions;
Comments on “Soliton solutions to fractional-order nonlinear differential equations based on the exp-function method”
Keywords: معادلات دیفرانسیل غیر خطی; 35G20; 35C07; 35C05; Solitary solutions; Fractional-order derivative; Nonlinear differential equations; The exp-function method;
Nonlinear model reduction of unconfined groundwater flow using POD and DEIM
Keywords: معادلات دیفرانسیل غیر خطی; Model reduction; Unconfined flow; Proper orthogonal decomposition; Discrete empirical interpolation method; Nonlinear differential equations;
Exactly satisfying initial conditions neural network models for numerical treatment of first Painlevé equation
Keywords: معادلات دیفرانسیل غیر خطی; Painlevé transcendents; Neural network; Sequential quadratic programming; Nonlinear differential equations; Activation functions
A pull-in parameter analysis for the cantilever NEMS actuator model including surface energy, fringing field and Casimir effects
Keywords: معادلات دیفرانسیل غیر خطی; Micro-electromechanical systems (MEMS); Casimir force; Nano-electromechanical systems (NEMS); Pull-in instability; Nonlinear differential equations
A Taylor-type numerical method for solving nonlinear ordinary differential equations
Keywords: معادلات دیفرانسیل غیر خطی; 41A58; 34G20; 34B15Differential transform method; Taylor series; Numerical techniques; Nonlinear differential equations
Semi-computational simulation of magneto-hemodynamic flow in a semi-porous channel using optimal homotopy and differential transform methods
Keywords: معادلات دیفرانسیل غیر خطی; Differential transform method (DTM); Homotopy analysis method (HAM); Laminar viscous flow; Magneto-hemodynamics; Blood flow control; Nonlinear differential equations; Semi-porous channel; Hartmann number; Wall transpiration
Numerical modeling of electromagnetic wave propagation in a liquid crystal cell at oblique incidence
Keywords: معادلات دیفرانسیل غیر خطی; Finite difference method; Nonlinear differential equations; Modal analysis; Mode-matching technique; Maxwell equations; Nematic liquid crystals; Fréedericksz transition
Toward a solution of a class of non-linear stochastic perturbed PDEs using automated WHEP algorithm
Keywords: معادلات دیفرانسیل غیر خطی; Nonlinear differential equations; Stochastic differential equation; Wiener-Hermite expansion; Perturbation method; WHEP; Automated algorithms;
Hyperchaotic states in the parameter-space
Keywords: معادلات دیفرانسیل غیر خطی; Parameter-space; Lyapunov exponents; Chaos; Hyperchaos; Nonlinear differential equations
A general formula for the series solution of high-order linear and nonlinear boundary value problems
Keywords: معادلات دیفرانسیل غیر خطی; Boundary value problems; Nonlinear differential equations; Initial value problems
Group theoretical modeling of thermal explosion with reactant consumption
Keywords: معادلات دیفرانسیل غیر خطی; Lie group analysis; Symmetrical heating; Nonlinear differential equations;
A Laplace variational iteration strategy for the solution of differential equations
Keywords: معادلات دیفرانسیل غیر خطی; Laplace transform; Variation iteration method; Nonlinear differential equations
Adaptive multi-step differential transformation method to solving nonlinear differential equations
Keywords: معادلات دیفرانسیل غیر خطی; Adaptive algorithm; Multi-step differential transformation method; Nonlinear differential equations
Higher-order numeric Wazwaz–El-Sayed modified Adomian decomposition algorithms
Keywords: معادلات دیفرانسیل غیر خطی; Adomian decomposition method (ADM); Adomian polynomials; Nonlinear differential equations; Numerical integration methods
The general Jacobi matrix method for solving some nonlinear ordinary differential equations
Keywords: معادلات دیفرانسیل غیر خطی; Jacobi polynomials; Matrix form; Nonlinear differential equations; Spectral method; Explicit solution
A method of formalizing computer operations for solving nonlinear differential equations
Keywords: معادلات دیفرانسیل غیر خطی; Computer analogy; Rank transfer procedure; Nonlinear differential equations; Random number generator
Bessel collocation approach for solving continuous population models for single and interacting species
Keywords: معادلات دیفرانسیل غیر خطی; Logistic growth; Predator–prey models; Bessel polynomials and series; Collocation method; Collocation points; Nonlinear differential equations
Positive solutions of fourth order Emden–Fowler type differential equations in the framework of regular variation
Keywords: معادلات دیفرانسیل غیر خطی; Fourth order; Nonlinear differential equations; Positive solutions; Intermediate solutions; Regularly varying functions; Asymptotic behavior
Modeling symbiosis by interactions through species carrying capacities
Keywords: معادلات دیفرانسیل غیر خطی; Mathematical models of symbiosis; Nonlinear differential equations; Dynamics of symbiotic systems; Functional carrying capacity
Homotopy analysis method for the fractional nonlinear equations
Keywords: معادلات دیفرانسیل غیر خطی; Homotopy analysis method; Nonlinear differential equations; Fractional differential equations
Nonlinear dynamic analysis of an electrical machine rotor–bearing system by the optimal homotopy perturbation method
Keywords: معادلات دیفرانسیل غیر خطی; Optimal homotopy perturbation method; Nonlinear differential equations
Method of Lyapunov functions for differential equations with piecewise constant delay
Keywords: معادلات دیفرانسیل غیر خطی; Nonlinear differential equations; Piecewise constant argument of generalized type; Method of Lyapunov functions; Logistic equation
Analytical expressions of concentration of nitrate pertaining to the electrocatalytic reduction of nitrate ion
Keywords: معادلات دیفرانسیل غیر خطی; Electrochemical reduction; Nitrate; Kinetic analysis; Nonlinear differential equations; Homotopy analysis method;
Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations
Keywords: معادلات دیفرانسیل غیر خطی; Kudryashov method; Nonlinear evolution equations; Nonlinear differential equations; Ordinary differential equations; Exact solutions
Oscillation theorems for the generalized Liénard system
Keywords: معادلات دیفرانسیل غیر خطی; Oscillation; Nonlinear differential equations; Liénard system
Interval criteria for forced oscillation with nonlinearities given by Riemann–Stieltjes integrals
Keywords: معادلات دیفرانسیل غیر خطی; Interval criteria; Forced oscillation; Riemann–Stieltjes integral; Nonlinear differential equations
New ideas for decomposing nonlinearities in differential equations
Keywords: معادلات دیفرانسیل غیر خطی; Nonlinear differential equations; Generalized decomposition; Adomian polynomials; Adomian decomposition method; Diophantine equations
Near-field and far-field approximations by the Adomian and asymptotic decomposition methods
Keywords: معادلات دیفرانسیل غیر خطی; Asymptotic decomposition method; Adomian decomposition method; Adomian polynomials; Solution continuation; Padé approximants; Nonlinear differential equations;
New recurrence algorithms for the nonclassic Adomian polynomials
Keywords: معادلات دیفرانسیل غیر خطی; Adomian decomposition method; Adomian polynomials; Nonlinear differential equations; MATHEMATICA
New higher-order numerical one-step methods based on the Adomian and the modified decomposition methods
Keywords: معادلات دیفرانسیل غیر خطی; Adomian decomposition method (ADM); Modified decomposition method (MDM); Adomian-Rach Theorem; Adomian polynomials; Nonlinear differential equations; Numerical integration methods;