This book introduces new computational methods for solving nonlinear difference, differential, and integral equations using non-Newtonian calculus (multiplicative calculus). Additionally, it presents other computational methods for solving linear and nonlinear difference equations using discrete multiplicative calculus. Finally, by generalizing and expanding Sturm-Liouville theory into multiplicative analysis, it offers a method for solving eigenvalue problems, including linear and nonlinear difference and differential equations with parameters.
This book introduces new computational methods for solving nonlinear difference, differential, and integral equations using non-Newtonian calculus (multiplicative calculus). Additionally, it presents other computational methods for solving linear and nonlinear difference equations using discrete multiplicative calculus. Finally, by generalizing and expanding Sturm-Liouville theory into multiplicative analysis, it offers a method for solving eigenvalue problems, including linear and nonlinear difference and differential equations with parameters.
Mohammad Jahanshahi holds a Ph.D. in Mathematics and is currently a Professor at Azarbaijan Shahid Madani University, Tabriz, Iran.Nihan Aliyev holds a Ph.D. in Mathematics and serves as a Professor at Baku State University, Baku, Azerbaijan.
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