An Approximate Method for Solving the One Dimensional Problems of Thermal Conductivity,

Abstract

The paper describes an approximate method for solving the first boundary value problem of thermal conductivity. The method involves a reduction of the original problem to an auxiliary Cauchy problem which is then solved by applying the Laplace transform and the method of power series. The solution is compared with known solutions to the first boundary problem, showing that this approximate method is sufficiently effective when the equation of thermal conductivity contains variable coefficients. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 22, 1972
Accession Number
AD0754255

Entities

People

  • L. F. Vozyuk
  • Yu. T. Krivenchuk

Organizations

  • United States Army Foreign Science and Technology Center

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Cauchy Problem
  • Coefficients
  • Conductivity
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Power Series
  • Thermal Conductivity

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Thermal Physics or Thermal Science.