مؤسسة الشرق الأوسط للنشر العلمي
عادةً ما يتم الرد في غضون خمس دقائق
The main objective of our analysis is to expand the use of the Adomian-Rach decomposition method to process the mixed hyperbolic-elliptic system of conservation laws in gas fluid. The used method is based on decomposing the nonlinear terms by the Adomian polynomials and partitioning the given domain to avoid divergence as the time increases. The merged method presents a semi-analytic solution. A mixed hyperbolic-elliptic Cauchy-type problem is considered to examine our approach. Convergence and stability are also discussed numerically to show the effectiveness and efficiency of the method.