A numerical approach for solving generalized Abel-type nonlinear differential equations

DOI10.1016/j.amc.2015.04.057zbMath1410.65244OpenAlexW237267018MaRDI QIDQ1663398

Mehmet Sezer, Berna Bülbül

Publication date: 21 August 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.04.057

zbMATH Keywords

nonlinear differential equationspower series methodTaylor matrix methodAbel-type equations

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (8)

Numerical solutions of differential equations having cubic nonlinearity using Boole collocation method ⋮ An attractive numerical algorithm for solving nonlinear Caputo-Fabrizio fractional Abel differential equation in a Hilbert space ⋮ Unnamed Item ⋮ Transformation method for generating periodic solutions of Abel's differential equation ⋮ A numerical approach with error estimation to solve general integro-differential-difference equations using Dickson polynomials ⋮ The fixed point theory and the existence of the periodic solution on a nonlinear differential equation ⋮ Unnamed Item ⋮ The unique periodic solution of Abel's differential equation

Cites Work

• Relativistic dissipative cosmological models and Abel differential equation
• Polynomial solution of high-order linear Fredholm integro-differential equations with constant coefficients
• Approximate solutions of linear Volterra integral equation systems with variable coefficients
• A Taylor collocation method for the numerical solution of complex differential equations with mixed conditions in elliptic domains
• A new uniqueness criterion for the number of periodic orbits of Abel equations
• The composition conjecture for Abel equation
• A Laplace decomposition algorithm applied to a class of nonlinear differential equations
• New method for generating general solution of Abel differential equation
• Exact causal viscous cosmologies
• Taylor polynomial solutions of nonlinear Volterra-Fredholm integral equations
• Stewart-Lyth second-order approach as an Abel equation for reconstructing inflationary dy\-namics.
• Numerical solutions of the nonlinear Volterra-Fredholm integral equations by using homotopy perturbation method
• The approximate solution of high-order linear difference equations with variable coefficients in terms of Taylor polynomials
• On Szebehely's problem for holonomic systems involving generalized potential functions
• A new numerical algorithm for the Abel equation of the second kind
• Two-dimensional dynamical system associated with Abel’s nonlinear differential equation
• A method for the approximate solution of the second‐order linear differential equations in terms of Taylor polynomials
• A self-similar inhomogeneous dust cosmology
• Full causal bulk-viscous cosmological models
• A chebyshev collocation method for the solution of linear integro-differential equations
• A method for the approximate solution of the high-order linear difference equations in terms of Taylor polynomials
• Multidimensional integrable vacuum cosmology with two curvatures
• A new Taylor collocation method for nonlinear Fredholm‐Volterra integro‐differential equations
• The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials
• Solutions generating technique for Abel-type nonlinear ordinary differential equations

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