Keywords: روش جابجایی چبیشف; Non-standard finite difference method; The fractional diffusion equation; Caputo derivative; Chebyshev collocation method;
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Keywords: روش جابجایی چبیشف; Stability; Magnetic field; Porous medium; Anisotropy; Chebyshev collocation method;
Keywords: روش جابجایی چبیشف; Electrohydrodynamic instability; Vertical porous layer; Chebyshev collocation method;
Keywords: روش جابجایی چبیشف; Functionally graded materials; Nanobeams; Nonlocal theory; Mode veering; Eigenvalue loci veering; Chebyshev collocation method;
Keywords: روش جابجایی چبیشف; Space fractional order diffusion equation; Caputo derivative; Chebyshev collocation method; Finite difference method; Chebyshev polynomials of the third kind
Keywords: روش جابجایی چبیشف; Free vibration; Orthotropic Kirchhoff plates; Eringen’s nonlocal elasticity theory; Chebyshev collocation method; Eigenvalue problem
Keywords: روش جابجایی چبیشف; Vibration; Buckling; Functionally graded sandwich beam; Chebyshev collocation method;
Keywords: روش جابجایی چبیشف; Active reflection control; Time-domain simulation; Chebyshev collocation method
Keywords: روش جابجایی چبیشف; Free vibration; FGM beam; Elastic boundary condition; Chebyshev collocation method
Keywords: روش جابجایی چبیشف; Geometrically exact beam; Intrinsic formulation; Chebyshev collocation method
Keywords: روش جابجایی چبیشف; Free vibration; Annular sector Mindlin plates; Eringen׳s nonlocal elasticity theory; Chebyshev collocation method; Eigenvalue problem;
Chebyshev collocation method for the free vibration analysis of geometrically exact beams with fully intrinsic formulation
Keywords: روش جابجایی چبیشف; Chebyshev collocation method; Geometrically exact beam; Intrinsic formulation; Free vibration; Pretwisted beam; Composite rotor blade; Composite beam;
A Chebyshev collocation method for a class of Fredholm integral equations with highly oscillatory kernels
Keywords: روش جابجایی چبیشف; 65D32; 65D99Fredholm integral equation; Highly oscillatory integral; Chebyshev collocation method; Filon–Clenshaw–Curtis method; Chebyshev polynomials
Numerical solutions for gyrotactic bioconvection in nanofluid-saturated porous media with Stefan blowing and multiple slip effects
Keywords: روش جابجایی چبیشف; Second order slip; Porous media; Stefan blowing; Chebyshev collocation method; Nakamura second order difference scheme; Gyrotactic micro-organisms;
Capacitance matrix technique for avoiding spurious eigenmodes in the solution of hydrodynamic stability problems by Chebyshev collocation method
Keywords: روش جابجایی چبیشف; Spurious eigenvalue; Chebyshev collocation method; Hydrodynamic stability
The semi-explicit Volterra integral algebraic equations with weakly singular kernels: The numerical treatments
Keywords: روش جابجایی چبیشف; 65R20; 45F15Integral algebraic equation; System of weakly singular Volterra integral equation; Index of IAEs; Chebyshev collocation method; Error analysis
Free vibration analysis of non-rotating and rotating Timoshenko beams with damaged boundaries using the Chebyshev collocation method
Keywords: روش جابجایی چبیشف; Free vibration analysis; Chebyshev collocation method; Damaged boundaries; Rotating Timoshenko beams; Eigenvalue problem; Mode shapes
Evaluation of mechanical parameters of an elastic thin film system by modeling and numerical simulation of telephone cord buckles
Keywords: روش جابجایی چبیشف; Telephone cord buckles; Elastic thin film; Initial residual stress; Interface toughness; Von Karman plate equations; Chebyshev collocation method
The solution of high-order nonlinear ordinary differential equations by Chebyshev Series
Keywords: روش جابجایی چبیشف; Nonlinear differential equation; Chebyshev collocation method; Lane-Emden, Van der Pol, Riccati equations;
A numerical methodology for the Painlevé equations
Keywords: روش جابجایی چبیشف; Painlevé transcendents; PI equation; Taylor series method; Padé approximation; Chebyshev collocation method
An improvement for Chebyshev collocation method in solving certain Sturm–Liouville problems
Keywords: روش جابجایی چبیشف; Chebyshev collocation method; Sturm–Liouville problem; Generalized matrix eigenvalue problem
A numerical method for solving a class of functional and two dimensional integral equations
Keywords: روش جابجایی چبیشف; Chebyshev collocation method; Fredholm–Volterra integral equations; Functional integral equation
Mechanically induced phase combination in shape memory alloys by Chebyshev collocation methods
Keywords: روش جابجایی چبیشف; Rectangular martensite variants; Phase combinations; Ginzburg–Landau theory; Chebyshev collocation method
A Chebyshev polynomial approach for linear Fredholm–Volterra integro-differential equations in the most general form
Keywords: روش جابجایی چبیشف; Chebyshev collocation method; Chebyshev series approximation; Fredholm–Volterra integro-differential equations
Hydromagnetic stability of plane Poiseuille and Couette flow of viscoelastic fluid
Keywords: روش جابجایی چبیشف; Viscoelastic fluid; Hydromagnetic stability; Poiseuille flow; Couette flow; Chebyshev collocation method;