Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The main goal of this paper is to generalize the results, obtained in [1] to the case of quasi-linear ordinary differential equations of the second order with the third kind boundary conditions. It is a continuation of the paper series in which  have obtained ight a priori estimates of accuracy for difference schemes for linear parabolic type equations in one-dimensional [2] and two-dimensional [3] cases, quasi-linear parabolic type equations [4] and quasi-linear elliptic equations with conditions of the first kind [5].  it is shown that on approaching to the left or right boundary of the domain the rate of convergence of solution or it's first derivative, correspondingly, increases. The second accuracy order difference scheme of the special form has been used for this purpose. The paper is completed by numerical experiment, which results confirm theoretical statements.
['V. L. Makarov', 'Lyubomyr I. Demkiv']
I am writing a research paper on a idea Taking into account the third kind conditions in weight estimates for difference schemes
[{"from": "human", "value": "I am writing a research paper on a idea Taking into account the third kind conditions in weight estimates for difference schemes"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The main goal of this paper is to generalize the results, obtained in [1] to the case of quasi-linear ordinary differential equations of the second order with the third kind boundary conditions. It is a continuation of the paper series in which  have obtained ight a priori estimates of accuracy for difference schemes for linear parabolic type equations in one-dimensional [2] and two-dimensional [3] cases, quasi-linear parabolic type equations [4] and quasi-linear elliptic equations with conditions of the first kind [5].  it is shown that on approaching to the left or right boundary of the domain the rate of convergence of solution or it's first derivative, correspondingly, increases. The second accuracy order difference scheme of the special form has been used for this purpose. The paper is completed by numerical experiment, which results confirm theoretical statements."}]