TY - JOUR ID - 150587 TI - A Semi-Analytical Approach for the Approximate Solution of Casting-Mould Heterogeneous System JO - Computational Algorithms and Numerical Dimensions JA - CAND LA - en SN - 2980-7646 AU - Nadeem, Muhammad AD - Faculty of Science, Yibin University, Yibin 644000, China. Y1 - 2022 PY - 2022 VL - 1 IS - 2 SP - 52 EP - 60 KW - Variational iteration method KW - Homotopy Perturbation Method KW - Casting-mould system KW - approximate solution DO - 10.22105/cand.2022.150587 N2 - In this work, we study the Variational Iteration Method (VIM) accompanied by He's polynomials for obtaining the solution of the temperature distribution in the casting-mould heterogeneous system with fractional order. The combined form of VIM and the Homotopy Perturbation Method (HPM) is called the Variational Iteration Homotopy Perturbation Method (VIHPM) which yields to implement the system of equations directly. The identification of the Lagrange multiplier is essentially more reliable and higher accurate for such type of problems. The approximate solution converges rapidly to the exact solution which confirms the accuracy of this approach. Some graphical representations are demonstrated to show the validity of this approach. UR - https://www.journal-cand.com/article_150587.html L1 - https://www.journal-cand.com/article_150587_02d9d387f797562ba2ac41bcf83270eb.pdf ER -