Your English writing platform
Discover LudwigExact(6)
To show convergence of the proposed method we solve Example 4.1 using shifted Legandre collocation method.
Finally, film boiling is discussed and methods for computing heat-transfer coefficients in this regime are presented and used to solve example problems.
We also solve Example 3 and 4 in [6] using the algorithm proposed in this paper, and for the two examples, one iteration is needed to obtain the optimal solution.
To show the efficiency of proposed method in solving nonlocal m-point boundary problem, we solve Example 1 under a 7-point nonlocal boundary condition as defined in (S_{3}).
In Table 7, the maximum absolute error E is listed for various values of N, and in Table 8, we give a comparison between the best errors obtained by various methods used to solve Example 5.
To study the influence of the order of time-fractional derivative and the Reynolds number Re ((operatorname{Re}=1/nu)), we solve Example 2 with different settings of α, ν and illustrate phase plots at some particular moments, to show the dynamics of equation (31).
Similar(54)
"Even if you throw the kitchen sink at the problem, no one can currently solve examples with 100,000 points," Bill laments.
In addition, we notice that the algorithm in [21] cannot be reasonable to solve Examples 4 and 5, and so we do not use it for solving them.
Figure 1 Numerical results for solving Example 1 with Algorithm 1 Figure 2 Numerical results for solving Example 1 with smoothing gradient method.
Using the proposed Algorithm 1, we obtain the results for solving Example 6.1 and Example 6.2.
The first solved example concerns heat transfer through two adjacent walls.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com