Differential transform method for the solutions to some initial value problems in chemistry

DOI10.1007/s10910-021-01225-7zbMath1470.34006OpenAlexW3129333888MaRDI QIDQ830787

Yupeng Qin, Qing-Jun Lou

Publication date: 10 May 2021

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-021-01225-7

zbMATH Keywords

differential equationsexact solutionschemical problemsdifferential transform method

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (3)

3-point block backward differentiation formula with an off-step point for the solutions of stiff chemical reaction problems ⋮ On q,ω -differential transform method ⋮ Comment on: ``Differential transform method for the solutions to some initial value problems in chemistry

Cites Work

• Generalized differential transform method to differential-difference equation
• Differential transform method for the system of two-dimensional nonlinear Volterra integro-differential equations
• Kudryashov and Sinelshchikov's method for solving the radial oscillation problem of multielectron bubbles in liquid helium
• Dynamics of nonlinear transversely vibrating beams: parametric and closed-form solutions
• Parametric analytical solution for the \(N\)-dimensional Rayleigh equation
• Numerical and approximate solutions for coupled time fractional nonlinear evolutions equations via reduced differential transform method
• An optimized decomposition method for nonlinear ordinary and partial differential equations
• The new class of multistep multiderivative hybrid methods for the numerical solution of chemical stiff systems of first order IVPs
• Analytical solution for the collapse motion of an empty hyper-spherical bubble in \(N\) dimensions
• A complete in phase FinitDiff procedure for DiffEquns in chemistry
• Taylor series solution for Lane-Emden equation
• A fast-converging iterative scheme for solving a system of Lane-Emden equations arising in catalytic diffusion reactions
• A new mixed MADM-collocation approach for solving a class of Lane-Emden singular boundary value problems
• Semi-Numerical, Semi-Analytical Approximations of the Rayleigh Equation for Gas-Filled Hyper-Spherical Bubble

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