High accuracy piecewise-analytic solutions and higher-order numeric solutions of projectile motion with a quadratic drag force by the multistage modified decomposition method
DOI10.11948/20210277MaRDI QIDQ6612472
Jun-Sheng Duan, Dichen Hu, Randolph Rach
Publication date: 30 September 2024
Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)
Adomian decomposition methodmodified decomposition methodAdomian polynomialsquadratic dragprojectile motion
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for initial value problems involving ordinary differential equations (65L05) Orbital mechanics (70M20)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- New higher-order numerical one-step methods based on the Adomian and the modified decomposition methods
- Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the rach-Adomian-meyers modified decomposition method
- An efficient algorithm for the multivariable Adomian polynomials
- Convenient analytic recurrence algorithms for the Adomian polynomials
- A convenient computational form for the Adomian polynomials
- Recurrence triangle for Adomian polynomials
- Transformation of series
- Nonlinear transformation of series. II
- A modified decomposition
- Generalization of Adomian polynomials to functions of several variables
- Modified decomposition solution of nonlinear partial differential equations
- Solving frontier problems of physics: the decomposition method
- A mathematical model of Adomian polynomials
- A new algorithm for calculating Adomian polynomials for nonlinear operators
- Inversion of nonlinear stochastic operators
- Practical formulae for the calculus of multivariable Adomian polynomials
- Simulation of large deflections of a flexible cantilever beam fabricated from functionally graded materials by the Adomian decomposition method
- Parabolic sandwiches for functions on a compact interval and an application to projectile motion
- A new algorithm for calculating Adomian polynomials
- Highly accurate analytic formulae for projectile motion subjected to quadratic drag
- A New Modified Adomian Decomposition Method forHigher-Order Nonlinear Dynamical Systems
- A developed new algorithm for evaluating Adomian polynomials
- A new definition of the Adomian polynomials
- Modified decomposition solution of linear and nonlinear boundary-value problems
- The Motion of a Heavy Particle in a Medium with Quadratic Drag Force
- Higher order numeric solutions of the Lane–Emden-type equations derived from the multi-stage modified Adomian decomposition method
- Simulation of the eigenvalue problem for tapered rotating beams by the modified decomposition method
This page was built for publication: High accuracy piecewise-analytic solutions and higher-order numeric solutions of projectile motion with a quadratic drag force by the multistage modified decomposition method
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6612472)
