Exact integration of reduced Fisher's equation, reduced Blasius equation, and the Lorenz model

DOI10.1006/jmaa.2000.7020zbMath0968.34002OpenAlexW2081654844MaRDI QIDQ1589947

Philip Broadbridge, Lance Roman-Miller

Publication date: 19 December 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7020

zbMATH Keywords

exact solutionsexact integrationpower series expansionLorenz modelreduced Fisher and Blasius equation

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items

Explicit solutions for a non-classical heat conduction problem for a semi-infinite strip with a non-uniform heat source ⋮ Well‐posed dual‐phase‐lag model of a thermoelastic dipolar body ⋮ Piecewise homotopy methods for nonlinear ordinary differential equations ⋮ Growth and the diffusion of ideas ⋮ Exact solution of a boundary value problem describing the uniform cylindrical or spherical piston motion ⋮ EXPLICIT SERIES SOLUTION OF A CLOSURE MODEL FOR THE VON KÁRMÁN–HOWARTH EQUATION

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Explicit solutions of Fisher's equation for a special wave speed
• Analytical approximations to the solution of the Blasius equation
• The solution of the Blasius equation by the differential transformation method.
• Analytic solutions of first-order nonlinear differential equations
• The Bautin ideal of the Abel equation
• Deterministic Nonperiodic Flow
• On a Nonlinear Diffusion Equation Describing Population Growth