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Furthermore, numerical examples and illustrations are presented to prove the validity of the suggested method.
Theoretical analysis and numerical simulations are presented to prove the validity of the designed controllers.
Numerical examples, based on actually measured road profiles, are presented to prove the validity of the proposed approach and its suitability for the problem at hand.
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Finally, several application examples are presented to prove the feasibility and the validity of the proposed method.
Examples are presented to demonstrate the validity of the method.
A series of clinical cases is presented, to stimulate a discussion and to prove the validity of the algorithm.
We also present a comparison of calculation and experiment to prove the validity of the theory.
To prove the validity of the presented methodology, a virtual prototype model with identical conditions was created in ADAMS.
Two design case studies, for expanders with and without an inlet control valve, are offered at the end of the paper to prove the validity of the presented concepts and their suitability for the analysis.
A numerical example is given in order to prove the validity of the present study and also to discuss the importance of the completeness of the eigenfunction expansion solutions.
Secondly, to prove the validity of the monotone iterative technique, we present the anti-maximum comparison principle as follows.
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