Nonlinear Differential Equations: Analytical and Approximation Techniques
Keywords:
Nonlinear Differential Equations, Analytical Methods, Approximation Techniques, Homotopy Analysis Method, Numerical MethodsAbstract
Nonlinear differential equations play a fundamental role in modeling complex phenomena in physics,
engineering, biology, economics, and many other scientific disciplines. Unlike linear systems, nonlinear
differential equations often exhibit intricate behaviors such as chaos, bifurcation, and pattern formation, which
make their analytical treatment challenging.
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