Numerical Solutions

Numerical solutions involve using computers to approximate answers to mathematical problems, especially when exact formulas are difficult or impossible to find. Instead of solving equations analytically, we break the problem into small steps or groups and perform calculations step-by-step, gradually approaching the true solution. This approach is common in engineering, physics, and finance, where complex systems or data make traditional methods impractical. Numerical methods can provide highly accurate results efficiently, enabling us to analyze and predict real-world phenomena with precision.