Systems of Partial Differential Equations (original) (raw)

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Mathematical Books >Handbook of Mathematics for Engineers and Scientists > Contents > T10. Systems of Partial Differential Equations

T10. Systems of Partial Differential Equations

T10.1. Nonlinear Systems of Two First-Order Equations
T10.2. Linear Systems of Two Second-Order Equations
T10.3. Nonlinear Systems of Two Second-Order Equations
- T10.3.1. Systems of the Form ut = auxx + F(u, w), wt = bwxx + G(u, w)
- T10.3.2. Systems of the Form ut = ax−n(xnux)x + F(u, w), wt = bx−n(xnwx)x + G(u, w)
- T10.3.3. Systems of the Form uxx + uyy = F(u, w), wxx + wyy = G(u, w)
- T10.3.4. Systems of the Form utt = ax−n(xnux)x + F(u, w), wt = bx−n(xnwx)x + G(u, w)
- T10.3.5. Other Systems
T10.4. Systems of General Form
- T10.4.1. Linear Systems
- T10.4.2. Nonlinear Systems of Two Equations Involving the First Derivatives in t
- T10.4.3. Nonlinear Systems of Two Equations Involving the Second Derivatives in t
- T10.4.4. Nonlinear Systems of Many Equations Involving the First Derivatives in t
References for Chapter T10

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