Recent content by thepioneerm

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    Transforming PDE to ODE: How Can We Subsitute Correctly?

    ok ... I will try :) Thank you
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    Transforming PDE to ODE: How Can We Subsitute Correctly?

    ok, but eq (1) say: \frac{\partial{u}}{\partial{x}} + ( \partial w / \partial z) =0 so, I have evaluate all of the partial derviatives but How can I have eq (8) :( I do not understand !
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    Relationship (Pure+Applied+Bio) Math?

    I know it is linked with chemistry but I wanted to know its relationship with math sory if my question was annoying but I learned a lot from your answers and hints and I enjoy it Thank you
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    Transforming PDE to ODE: How Can We Subsitute Correctly?

    Thanks ...I appreciate it but how do I get the equation (8) ?! and
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    Transforming PDE to ODE: How Can We Subsitute Correctly?

    please ... Is this true?! I took the second term in eq(1) \partial w / \partial z = ( \partial w / \partial \varphi ) . ( \partial \varphi / \partial \eta ) . ( \partial \eta / \partial z ) = (- \sqrt{b\nu} ) . ( \grave{\varphi} ) .( \sqrt{b/\nu} ) = -b \grave{\varphi}
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    Transforming PDE to ODE: How Can We Subsitute Correctly?

    is it right that u is in 3 variables : x and Fi Dash and M ?
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    Transforming PDE to ODE: How Can We Subsitute Correctly?

    I will try :(
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    Transforming PDE to ODE: How Can We Subsitute Correctly?

    please ... help me ... just the first term in eq(1) I try but failed :(
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    Transforming PDE to ODE: How Can We Subsitute Correctly?

    Q: How do I choose the appropriate similarity transformations to a particular system?!
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    Transforming PDE to ODE: How Can We Subsitute Correctly?

    Thank you for this hint...I will try it :) and read: http://en.wikipedia.org/wiki/Chain_rule https://www.physicsforums.com/library.php?do=view_item&itemid=353
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    Transforming PDE to ODE: How Can We Subsitute Correctly?

    From PDE to ODE ?! + research Homework Statement In the attached research, What are the steps that we work to transform the equation (1) to (8) Homework Equations (1) and (8) The Attempt at a Solution I know that they used similarity transformations but I do not know how to do...
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    Relationship (Pure+Applied+Bio) Math?

    When I read I found that the "Femtosecond Laser" is used instead of Microkeratome in LASIK Surgery ... and that is a good relationship between "Femtosecond and Biomedicine. and I Found that: second > picosecond > femtosecond > attoseconds > zeptoseconds But I could not linked it with...
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    Relationship (Pure+Applied+Bio) Math?

    ok ...Thank you
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    Relationship (Pure+Applied+Bio) Math?

    me to :)
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    Relationship (Pure+Applied+Bio) Math?

    Thank you for your Answers and I appreciate it very much and I am so sorry for my inattention unintentional ok... can I change the question: relationship between Biomathematics and Femtosecond?! and DEs and Femtosecond ?! I know that there is a relationship between the Femtosecond and...