Error analysis for a class of methods for stiff non-linear initial value problems

1976 ◽  
pp. 60-72 ◽  
Author(s):  
Germund Dahlquist
Keyword(s):  
Error Analysis ◽  
Initial Value Problems ◽  
Initial Value ◽  
Non Linear

Rotating and stratified fluid flow

1964 ◽  
Vol 19 (3) ◽  
pp. 415-432 ◽  
Author(s):  
Kathleen Trustrum
Keyword(s):  
Fluid Flow ◽  
Initial Value Problems ◽  
Equations Of Motion ◽  
Stratified Fluid ◽  
Stratified Fluids ◽  
Initial Value ◽  
Downstream Side ◽  
Non Linear ◽  
Oseen Approximation ◽  
Inertial Terms

For flows in either rotating or stratified fluids, a technique is developed for solving initial-value problems using an Oseen approximation to the non-linear inertial terms in the equations of motion. The resulting equations for either application are similar. The solutions bear a strong qualitative resemblence to observed flows of both kinds, being characterized at small Rossby or Froude numbers by a blocked flow upstream of an obstacle and waves on the downstream side.

scholarly journals A new computational algorithm for the solution of second order initial value problems in ordinary differential equations

2018 ◽  
Vol 3 (1) ◽  
pp. 167-174 ◽  
Author(s):  
P.K. Pandey
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Initial Value Problems ◽  
Computational Algorithm ◽  
Second Order ◽  
Computational Method ◽  
Computationally Efficient ◽  
Initial Value ◽  
Computational Performance ◽  
Non Linear

AbstractIn this article, we propose a new computational method for second order initial value problems in ordinary differential equations. The algorithm developed is based on a local representation of theoretical solution of the second order initial value problem by a non-linear interpolating function. Numerical examples are solved to ensure the computational performance of the algorithm for both linear and non-linear initial value problems. From the results we obtained, the algorithm can be said computationally efficient and effective.

A class of comparison theorems for non-linear hyperbolic initial value problems

1981 ◽  
Vol 87 (3-4) ◽  
pp. 189-191 ◽  
Author(s):  
Kurt Kreith
Keyword(s):  
Initial Value Problems ◽  
Comparison Theorems ◽  
Riccati Transformation ◽  
Initial Value ◽  
Exponential Form ◽  
Non Linear ◽  
Zeros Of Solutions

SynopsisAn exponential form of the Riccati transformation is used to establish zeros of solutions of a class of characteristic initial value problems.

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