Extension of the differential transformation method to nonlinear differential and integro-differential equations with proportional delays

DOI10.1186/1687-1847-2013-69zbMath1380.34028OpenAlexW2169326176WikidataQ59301603 ScholiaQ59301603MaRDI QIDQ1693482

Yasir Khan, Josef Diblík, Zdeněk Šmarda

Publication date: 31 January 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-69

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Related Items (7)

Piecewise approximate analytical solutions of high-order singular perturbation problems with a discontinuous source term ⋮ Differential transform algorithm for functional differential equations with time-dependent delays ⋮ Numerical Solution for Neutral Delay Differential Equation of Constant or Proportional Type Using Hybrid Block Method ⋮ Study of time fractional proportional delayed multi‐pantograph system and integro‐differential equations ⋮ On the differential transform method of solving boundary eigenvalue problems: An illustration ⋮ Numerical algorithm for nonlinear delayed differential systems of \(n\)th order ⋮ Modified differential transform method for solving the model of pollution for a system of lakes

Cites Work

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• Delay differential equations: with applications in population dynamics
• Heat transfer analysis for the Falkner-Skan wedge flow by the differential transformation method
• Spectral methods for pantograph-type differential and integral equations with multiple delays
• On pantograph integro-differential equations
• Numerical solutions of chemical differential-algebraic equations
• Thermal boundary-layer problems over a semi-infinite flat plate by the differential transformation method.
• Solving certain classes of Lane-Emden type equations using the differential transformation method
• A study of the convergence of and error estimation for the homotopy perturbation method for the Volterra-Fredholm integral equations
• Application of the differential transformation method to a nonlinear conservative system
• Solution of boundary value problems for integro-differential equations by using differential transform method
• Geometric meshes in collocation methods for Volterra integral equations with proportional delays
• Convergence Analysis of Spectral Methods for Integro-Differential Equations with Vanishing Proportional Delays
• The stability and asymptotic properties of the  -methods for the pantograph equation
• Optimal Superconvergence Results for Delay Integro‐Differential Equations of Pantograph Type
• The Adomian decomposition method for solving delay differential equation
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• On a linear differential equation with a proportional delay
• On solving the initial-value problems using the differential transformation method

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