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Stochastic partial differential equations (SPDEs) represent a significant advancement in modeling systems where parameters are uncertain, particularly in fields like physics and economics. These equations blend deterministic partial differential equations with stochastic processes, incorporating elements of both finite and infinite dimensions. The use of white noise, despite being a mathematical abstraction, effectively captures rapid random fluctuations, making SPDEs a powerful tool for understanding complex systems influenced by randomness.
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STOCHASTIC INTEGRAL & DIFFERENTIAL EQUATIONS IN MATH MODEL, Santanu Saha Ray
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- 2023
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